Deck 2: Analytic-Trigonometry

ملء الشاشة (f)
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سؤال
Use the figure to find the exact value of the trigonometric function. ​
Tan 2θ
<strong>Use the figure to find the exact value of the trigonometric function. ​ Tan 2θ ​   ​ A = 1, b = 6 ​</strong> A)   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
A = 1, b = 6

A) <strong>Use the figure to find the exact value of the trigonometric function. ​ Tan 2θ ​   ​ A = 1, b = 6 ​</strong> A)   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
B) <strong>Use the figure to find the exact value of the trigonometric function. ​ Tan 2θ ​   ​ A = 1, b = 6 ​</strong> A)   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Tan 2θ ​   ​ A = 1, b = 6 ​</strong> A)   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Tan 2θ ​   ​ A = 1, b = 6 ​</strong> A)   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Tan 2θ ​   ​ A = 1, b = 6 ​</strong> A)   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
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سؤال
Use the half-angle formulas to simplify the expression. ​ <strong>Use the half-angle formulas to simplify the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use the half-angle formulas to simplify the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the half-angle formulas to simplify the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the half-angle formulas to simplify the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the half-angle formulas to simplify the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the half-angle formulas to simplify the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Use a double-angle formula to rewrite the expression. ​
<strong>Use a double-angle formula to rewrite the expression. ​ ​   ​</strong> A)​sin x B)​​2 sin x C)​​​2 sin 2x D)​ sin x E)​ sin 2x <div style=padding-top: 35px>

A)​sin x
B)​​2 sin x
C)​​​2 sin 2x
D)​ sin x
E)​ sin 2x
سؤال
Use the half-angle formulas to simplify the expression. ​
<strong>Use the half-angle formulas to simplify the expression. ​ ​   ​</strong> A)​- ​|cos x| B)​|cos x| C)​​|cos 4x| D)​​- |cos 4x| E)​- ​|cos 8x| <div style=padding-top: 35px>

A)​- ​|cos x|
B)​|cos x|
C)​​|cos 4x|
D)​​- |cos 4x|
E)​- ​|cos 8x|
سؤال
Use a double-angle formula to rewrite the expression. ​
2 sin2 x - 1

A)cos x
B)cos 2x ​
C)-2 cos x ​
D)2 cos 2x ​
E)- cos 2x ​
سؤال
Use a double-angle formula to rewrite the expression. ​
10 cos2 x - 5

A)5 cos x
B)​cos 5x
C)​10 cos 2x
D)​10 cos x
E)​5 cos 2x
سؤال
Use the product-to-sum formulas to rewrite the product as a sum or difference. ​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)   E)​   <div style=padding-top: 35px>

A)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)   E)​   <div style=padding-top: 35px>
D) <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)   E)​   <div style=padding-top: 35px>
سؤال
Use the figure to find the exact value of the trigonometric function. ​
Cos 2θ
<strong>Use the figure to find the exact value of the trigonometric function. ​ Cos 2θ ​   ​ A = 1, b = 2 ​</strong> A)​   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
A = 1, b = 2

A)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Cos 2θ ​   ​ A = 1, b = 2 ​</strong> A)​   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
B) <strong>Use the figure to find the exact value of the trigonometric function. ​ Cos 2θ ​   ​ A = 1, b = 2 ​</strong> A)​   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Cos 2θ ​   ​ A = 1, b = 2 ​</strong> A)​   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Cos 2θ ​   ​ A = 1, b = 2 ​</strong> A)​   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Cos 2θ ​   ​ A = 1, b = 2 ​</strong> A)​   B)   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Use the product-to-sum formulas to rewrite the product as a sum or difference. ​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Use a double-angle formula to rewrite the expression. ​
3 - 6 sin2 x

A)6 cos x
B)​3 sin 2x
C)​3 sin x
D)​3 cos 2x
E)​6 cos 2x
سؤال
Use the product-to-sum formulas to rewrite the product as a sum or difference. ​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Use the figure to find the exact value of the trigonometric function. ​
Sin 2θ
<strong>Use the figure to find the exact value of the trigonometric function. ​ Sin 2θ ​   ​ A = 1, b = 2 ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
A = 1, b = 2

A) <strong>Use the figure to find the exact value of the trigonometric function. ​ Sin 2θ ​   ​ A = 1, b = 2 ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
B) <strong>Use the figure to find the exact value of the trigonometric function. ​ Sin 2θ ​   ​ A = 1, b = 2 ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
C) <strong>Use the figure to find the exact value of the trigonometric function. ​ Sin 2θ ​   ​ A = 1, b = 2 ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
D) <strong>Use the figure to find the exact value of the trigonometric function. ​ Sin 2θ ​   ​ A = 1, b = 2 ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
E) <strong>Use the figure to find the exact value of the trigonometric function. ​ Sin 2θ ​   ​ A = 1, b = 2 ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
سؤال
Use the figure to find the exact value of the trigonometric function. ​
Csc 2θ
<strong>Use the figure to find the exact value of the trigonometric function. ​ Csc 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)​   C)   D)​   E)   <div style=padding-top: 35px>
A = 1, b = 6

A)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Csc 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)​   C)   D)​   E)   <div style=padding-top: 35px>
B)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Csc 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)​   C)   D)​   E)   <div style=padding-top: 35px>
C) <strong>Use the figure to find the exact value of the trigonometric function. ​ Csc 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)​   C)   D)​   E)   <div style=padding-top: 35px>
D)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Csc 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)​   C)   D)​   E)   <div style=padding-top: 35px>
E) <strong>Use the figure to find the exact value of the trigonometric function. ​ Csc 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)​   C)   D)​   E)   <div style=padding-top: 35px>
سؤال
Use the half-angle formulas to simplify the expression. ​
<strong>Use the half-angle formulas to simplify the expression. ​ ​   ​</strong> A)|sin 5x| B)- |sin x| C)|sin 10x| D)- |sin 5x| E)|sin x| <div style=padding-top: 35px>

A)|sin 5x|
B)- |sin x|
C)|sin 10x|
D)- |sin 5x|
E)|sin x|
سؤال
Use the product-to-sum formulas to rewrite the product as a sum or difference. ​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​   <div style=padding-top: 35px>
سؤال
Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Use the half-angle formulas to simplify the expression. ​ <strong>Use the half-angle formulas to simplify the expression. ​   ​</strong> A)​- |cot x| B)​- |3 tan x| C)​- |3 tan 6x| D)​- |3 cot 3x| E)​- |cot 3x| <div style=padding-top: 35px>

A)​- |cot x|
B)​- |3 tan x|
C)​- |3 tan 6x|
D)​- |3 cot 3x|
E)​- |cot 3x|
سؤال
Use the figure to find the exact value of the trigonometric function. ​
Sec 2θ
<strong>Use the figure to find the exact value of the trigonometric function. ​ Sec 2θ ​   ​ A = 1, b = 8 ​</strong> A)​   B)   C)​   D)​   E)   <div style=padding-top: 35px>
A = 1, b = 8

A)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Sec 2θ ​   ​ A = 1, b = 8 ​</strong> A)​   B)   C)​   D)​   E)   <div style=padding-top: 35px>
B) <strong>Use the figure to find the exact value of the trigonometric function. ​ Sec 2θ ​   ​ A = 1, b = 8 ​</strong> A)​   B)   C)​   D)​   E)   <div style=padding-top: 35px>
C)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Sec 2θ ​   ​ A = 1, b = 8 ​</strong> A)​   B)   C)​   D)​   E)   <div style=padding-top: 35px>
D)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Sec 2θ ​   ​ A = 1, b = 8 ​</strong> A)​   B)   C)​   D)​   E)   <div style=padding-top: 35px>
E) <strong>Use the figure to find the exact value of the trigonometric function. ​ Sec 2θ ​   ​ A = 1, b = 8 ​</strong> A)​   B)   C)​   D)​   E)   <div style=padding-top: 35px>
سؤال
Use the figure to find the exact value of the trigonometric function. ​
Cot 2θ
<strong>Use the figure to find the exact value of the trigonometric function. ​ Cot 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)   C)   D)​   E)   <div style=padding-top: 35px>
A = 1, b = 6

A)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Cot 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)   C)   D)​   E)   <div style=padding-top: 35px>
B) <strong>Use the figure to find the exact value of the trigonometric function. ​ Cot 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)   C)   D)​   E)   <div style=padding-top: 35px>
C) <strong>Use the figure to find the exact value of the trigonometric function. ​ Cot 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)   C)   D)​   E)   <div style=padding-top: 35px>
D)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Cot 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)   C)   D)​   E)   <div style=padding-top: 35px>
E) <strong>Use the figure to find the exact value of the trigonometric function. ​ Cot 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)   C)   D)​   E)   <div style=padding-top: 35px>
سؤال
Convert the expression. ​ <strong>Convert the expression. ​   ​ ​</strong> A)​   B)   C)​   D)   E)   <div style=padding-top: 35px>

A)​ <strong>Convert the expression. ​   ​ ​</strong> A)​   B)   C)​   D)   E)   <div style=padding-top: 35px>
B) <strong>Convert the expression. ​   ​ ​</strong> A)​   B)   C)​   D)   E)   <div style=padding-top: 35px>
C)​ <strong>Convert the expression. ​   ​ ​</strong> A)​   B)   C)​   D)   E)   <div style=padding-top: 35px>
D) <strong>Convert the expression. ​   ​ ​</strong> A)​   B)   C)​   D)   E)   <div style=padding-top: 35px>
E) <strong>Convert the expression. ​   ​ ​</strong> A)​   B)   C)​   D)   E)   <div style=padding-top: 35px>
سؤال
Convert the expression. ​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Find the exact solutions of the given equation in the interval [0, 2π). ​
<strong>Find the exact solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
The mach number M of an airplane is the ratio of its speed to the speed of sound.When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane (see figure).The mach number is related to the apex angle θ of the cone by <strong>The mach number M of an airplane is the ratio of its speed to the speed of sound.When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane (see figure).The mach number is related to the apex angle θ of the cone by   . ​   ​ Rewrite the equation in terms of θ. ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px> . ​ <strong>The mach number M of an airplane is the ratio of its speed to the speed of sound.When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane (see figure).The mach number is related to the apex angle θ of the cone by   . ​   ​ Rewrite the equation in terms of θ. ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
Rewrite the equation in terms of θ.

A)​ <strong>The mach number M of an airplane is the ratio of its speed to the speed of sound.When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane (see figure).The mach number is related to the apex angle θ of the cone by   . ​   ​ Rewrite the equation in terms of θ. ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
B)​ <strong>The mach number M of an airplane is the ratio of its speed to the speed of sound.When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane (see figure).The mach number is related to the apex angle θ of the cone by   . ​   ​ Rewrite the equation in terms of θ. ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
C)​ <strong>The mach number M of an airplane is the ratio of its speed to the speed of sound.When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane (see figure).The mach number is related to the apex angle θ of the cone by   . ​   ​ Rewrite the equation in terms of θ. ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
D)​ <strong>The mach number M of an airplane is the ratio of its speed to the speed of sound.When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane (see figure).The mach number is related to the apex angle θ of the cone by   . ​   ​ Rewrite the equation in terms of θ. ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
E) <strong>The mach number M of an airplane is the ratio of its speed to the speed of sound.When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane (see figure).The mach number is related to the apex angle θ of the cone by   . ​   ​ Rewrite the equation in terms of θ. ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
سؤال
Convert the expression. ​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​   <div style=padding-top: 35px>
سؤال
Use the sum-to-product formulas to rewrite the sum or difference as a product. ​
Cos 3θ + cos 8θ

A)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ Cos 3θ + cos 8θ ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
B)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ Cos 3θ + cos 8θ ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
C)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ Cos 3θ + cos 8θ ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
D)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ Cos 3θ + cos 8θ ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
E) <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ Cos 3θ + cos 8θ ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
سؤال
Use a double-angle formula to find the exact value of cos2u when ​ <strong>Use a double-angle formula to find the exact value of cos2u when ​  </strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>Use a double-angle formula to find the exact value of cos2u when ​  </strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use a double-angle formula to find the exact value of cos2u when ​  </strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use a double-angle formula to find the exact value of cos2u when ​  </strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use a double-angle formula to find the exact value of cos2u when ​  </strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use a double-angle formula to find the exact value of cos2u when ​  </strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure).The radius of each arc r (in feet) and the angle θ are related by ​ <strong>When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure).The radius of each arc r (in feet) and the angle θ are related by ​   ​ Write a formula for x in terms of cos θ. ​   ​</strong> A)​   B)​   C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
Write a formula for x in terms of cos θ.
<strong>When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure).The radius of each arc r (in feet) and the angle θ are related by ​   ​ Write a formula for x in terms of cos θ. ​   ​</strong> A)​   B)​   C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>

A)​ <strong>When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure).The radius of each arc r (in feet) and the angle θ are related by ​   ​ Write a formula for x in terms of cos θ. ​   ​</strong> A)​   B)​   C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
B)​ <strong>When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure).The radius of each arc r (in feet) and the angle θ are related by ​   ​ Write a formula for x in terms of cos θ. ​   ​</strong> A)​   B)​   C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
C) <strong>When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure).The radius of each arc r (in feet) and the angle θ are related by ​   ​ Write a formula for x in terms of cos θ. ​   ​</strong> A)​   B)​   C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
D) <strong>When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure).The radius of each arc r (in feet) and the angle θ are related by ​   ​ Write a formula for x in terms of cos θ. ​   ​</strong> A)​   B)​   C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
E) <strong>When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure).The radius of each arc r (in feet) and the angle θ are related by ​   ​ Write a formula for x in terms of cos θ. ​   ​</strong> A)​   B)​   C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
سؤال
Convert the expression. ​ <strong>Convert the expression. ​   ​</strong> A)2 cos b B)​cos 2b C)​​cos b D)2 ​cos 2b E)​4 cos b <div style=padding-top: 35px>

A)2 cos b
B)​cos 2b
C)​​cos b
D)2 ​cos 2b
E)​4 cos b
سؤال
Find the exact solutions of the given equation in the interval [0, 2π). ​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​  </strong> A)​   B)​   C)​   D)​x = 0 E)​   <div style=padding-top: 35px>

A)​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​  </strong> A)​   B)​   C)​   D)​x = 0 E)​   <div style=padding-top: 35px>
B)​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​  </strong> A)​   B)​   C)​   D)​x = 0 E)​   <div style=padding-top: 35px>
C)​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​  </strong> A)​   B)​   C)​   D)​x = 0 E)​   <div style=padding-top: 35px>
D)​x = 0
E)​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​  </strong> A)​   B)​   C)​   D)​x = 0 E)​   <div style=padding-top: 35px>
سؤال
Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Use the figure below to determine the exact value of the given function. ​ <strong>Use the figure below to determine the exact value of the given function. ​    </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> <strong>Use the figure below to determine the exact value of the given function. ​    </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use the figure below to determine the exact value of the given function. ​    </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the figure below to determine the exact value of the given function. ​    </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the figure below to determine the exact value of the given function. ​    </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the figure below to determine the exact value of the given function. ​    </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the figure below to determine the exact value of the given function. ​    </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Convert the expression. ​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Use the figure to find the exact value of the trigonometric function. ​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Cos 2β ​</strong> A)​   B)​   C)   D)​   E)​   <div style=padding-top: 35px> <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Cos 2β ​</strong> A)​   B)​   C)   D)​   E)​   <div style=padding-top: 35px>
Cos 2β

A)​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Cos 2β ​</strong> A)​   B)​   C)   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Cos 2β ​</strong> A)​   B)​   C)   D)​   E)​   <div style=padding-top: 35px>
C) <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Cos 2β ​</strong> A)​   B)​   C)   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Cos 2β ​</strong> A)​   B)​   C)   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Cos 2β ​</strong> A)​   B)​   C)   D)​   E)​   <div style=padding-top: 35px>
سؤال
Use the figure to find the exact value of the trigonometric function. ​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Sin 2α ​</strong> A)​   B)​   C)​   ​ D)​   E)   <div style=padding-top: 35px> <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Sin 2α ​</strong> A)​   B)​   C)​   ​ D)​   E)   <div style=padding-top: 35px>
Sin 2α

A)​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Sin 2α ​</strong> A)​   B)​   C)​   ​ D)​   E)   <div style=padding-top: 35px>
B)​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Sin 2α ​</strong> A)​   B)​   C)​   ​ D)​   E)   <div style=padding-top: 35px>
C)​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Sin 2α ​</strong> A)​   B)​   C)​   ​ D)​   E)   <div style=padding-top: 35px>
D)​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Sin 2α ​</strong> A)​   B)​   C)​   ​ D)​   E)   <div style=padding-top: 35px>
E) <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Sin 2α ​</strong> A)​   B)​   C)​   ​ D)​   E)   <div style=padding-top: 35px>
سؤال
Convert the expression. ​
<strong>Convert the expression. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>Convert the expression. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Convert the expression. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Convert the expression. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Convert the expression. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Convert the expression. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Convert the expression. ​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)   E)​   <div style=padding-top: 35px>

A)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)   E)​   <div style=padding-top: 35px>
B)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)   E)​   <div style=padding-top: 35px>
C)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)   E)​   <div style=padding-top: 35px>
D) <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)   E)​   <div style=padding-top: 35px>
E)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)   E)​   <div style=padding-top: 35px>
سؤال
Use the sum-to-product formulas to select the sum or difference as a product. ​ <strong>Use the sum-to-product formulas to select the sum or difference as a product. ​   ​</strong> A)​   B)​   C)   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use the sum-to-product formulas to select the sum or difference as a product. ​   ​</strong> A)​   B)​   C)   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the sum-to-product formulas to select the sum or difference as a product. ​   ​</strong> A)​   B)​   C)   D)​   E)​   <div style=padding-top: 35px>
C) <strong>Use the sum-to-product formulas to select the sum or difference as a product. ​   ​</strong> A)​   B)​   C)   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the sum-to-product formulas to select the sum or difference as a product. ​   ​</strong> A)​   B)​   C)   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the sum-to-product formulas to select the sum or difference as a product. ​   ​</strong> A)​   B)​   C)   D)​   E)​   <div style=padding-top: 35px>
سؤال
Use a double angle formula to rewrite the given expression. <strong>Use a double angle formula to rewrite the given expression.  </strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>

A) <strong>Use a double angle formula to rewrite the given expression.  </strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
B) <strong>Use a double angle formula to rewrite the given expression.  </strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
C) <strong>Use a double angle formula to rewrite the given expression.  </strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
D) <strong>Use a double angle formula to rewrite the given expression.  </strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
E) <strong>Use a double angle formula to rewrite the given expression.  </strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
سؤال
Convert the expression. ​
<strong>Convert the expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Convert the expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Convert the expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Convert the expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Convert the expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Convert the expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
The range of a projectile fired at an angle θ with the horizontal and with an initial velocity of v0 feet per second is <strong>The range of a projectile fired at an angle θ with the horizontal and with an initial velocity of v<sub>0</sub> feet per second is   where r is measured in feet.A golfer strikes a golf ball at 90 feet per second.Ignoring the effects of air resistance, at what angle must the golfer hit the ball so that it travels 150 feet? (Round your answer to the nearest degree.)</strong> A)14° B)36° C)18° D)27° E)41° <div style=padding-top: 35px> where r is measured in feet.A golfer strikes a golf ball at 90 feet per second.Ignoring the effects of air resistance, at what angle must the golfer hit the ball so that it travels 150 feet? (Round your answer to the nearest degree.)

A)14°
B)36°
C)18°
D)27°
E)41°
سؤال
Use the sum-to-product formulas to write the given expression as a product. ​
<strong>Use the sum-to-product formulas to write the given expression as a product. ​ ​   ​</strong> A)​​2 sin 4θ cos θ B)​-2 sin 4θ sin θ C)-​2 cos 4θ cos θ D)​2 cos 4θ sin θ E)​​2 cos 4θ cos θ <div style=padding-top: 35px>

A)​​2 sin 4θ cos θ
B)​-2 sin 4θ sin θ
C)-​2 cos 4θ cos θ
D)​2 cos 4θ sin θ
E)​​2 cos 4θ cos θ
سؤال
Find all solutions of the given equation in the interval [0, 2π). ​
<strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​x = 0 <div style=padding-top: 35px>

A)​ <strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​x = 0 <div style=padding-top: 35px>
B)​ <strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​x = 0 <div style=padding-top: 35px>
C)​ <strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​x = 0 <div style=padding-top: 35px>
D)​ <strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​x = 0 <div style=padding-top: 35px>
E)​x = 0
سؤال
Find the expression as the tangent of an angle. ​ <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the expression as the tangent of an angle. ​ <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use the figure below to find the exact value of the given trigonometric expression. <strong>Use the figure below to find the exact value of the given trigonometric expression.    </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> <strong>Use the figure below to find the exact value of the given trigonometric expression.    </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use the figure below to find the exact value of the given trigonometric expression.    </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the figure below to find the exact value of the given trigonometric expression.    </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the figure below to find the exact value of the given trigonometric expression.    </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the figure below to find the exact value of the given trigonometric expression.    </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the figure below to find the exact value of the given trigonometric expression.    </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Use the half-angle formulas to determine the exact value of the given trigonometric expression. ​
<strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   ​ E)​   <div style=padding-top: 35px>

A)​ <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   ​ E)​   <div style=padding-top: 35px>
B)​ <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   ​ E)​   <div style=padding-top: 35px>
C)​ <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   ​ E)​   <div style=padding-top: 35px>
D)​ <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   ​ E)​   <div style=padding-top: 35px>
E)​ <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   ​ E)​   <div style=padding-top: 35px>
سؤال
Find the expression as the sine or cosine of an angle. ​ <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the expression as the tangent of an angle. ​ <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use the half-angle formula to simplify the given expression. ​
<strong>Use the half-angle formula to simplify the given expression. ​ ​   ​</strong> A)​​cos |2x| B)​​cos |8x| C)​​cos |16x| D)​​cos |32x| E)​cos |4x| <div style=padding-top: 35px>

A)​​cos |2x|
B)​​cos |8x|
C)​​cos |16x|
D)​​cos |32x|
E)​cos |4x|
سؤال
Simplify the expression algebraically. ​ <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use the sum-to-product formulas to find the exact value of the given expression. ​
<strong>Use the sum-to-product formulas to find the exact value of the given expression. ​ ​   ​</strong> A)​   B)​1 C)​   D)-1 E)0 <div style=padding-top: 35px>

A)​ <strong>Use the sum-to-product formulas to find the exact value of the given expression. ​ ​   ​</strong> A)​   B)​1 C)​   D)-1 E)0 <div style=padding-top: 35px>
B)​1
C)​ <strong>Use the sum-to-product formulas to find the exact value of the given expression. ​ ​   ​</strong> A)​   B)​1 C)​   D)-1 E)0 <div style=padding-top: 35px>
D)-1
E)0
سؤال
Find the expression as the sine of an angle. ​ <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the expression as the sine or cosine of an angle. ​ <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
​Use the figure below to find the exact value of the given trigonometric expression. <strong>​Use the figure below to find the exact value of the given trigonometric expression.   ​ ​   10 24 (figure not necessarily to scale) ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> ​ ​ <strong>​Use the figure below to find the exact value of the given trigonometric expression.   ​ ​   10 24 (figure not necessarily to scale) ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> 10
24
(figure not necessarily to scale)

A)​ <strong>​Use the figure below to find the exact value of the given trigonometric expression.   ​ ​   10 24 (figure not necessarily to scale) ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>​Use the figure below to find the exact value of the given trigonometric expression.   ​ ​   10 24 (figure not necessarily to scale) ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>​Use the figure below to find the exact value of the given trigonometric expression.   ​ ​   10 24 (figure not necessarily to scale) ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>​Use the figure below to find the exact value of the given trigonometric expression.   ​ ​   10 24 (figure not necessarily to scale) ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>​Use the figure below to find the exact value of the given trigonometric expression.   ​ ​   10 24 (figure not necessarily to scale) ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Use the product-to-sum formula to write the given product as a sum or difference. ​ <strong>Use the product-to-sum formula to write the given product as a sum or difference. ​   ​</strong> A)​   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>

A)​ <strong>Use the product-to-sum formula to write the given product as a sum or difference. ​   ​</strong> A)​   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
B) <strong>Use the product-to-sum formula to write the given product as a sum or difference. ​   ​</strong> A)​   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
C) <strong>Use the product-to-sum formula to write the given product as a sum or difference. ​   ​</strong> A)​   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
D) <strong>Use the product-to-sum formula to write the given product as a sum or difference. ​   ​</strong> A)​   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
E) <strong>Use the product-to-sum formula to write the given product as a sum or difference. ​   ​</strong> A)​   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
سؤال
Find the expression as the cosine of an angle. ​
<strong>Find the expression as the cosine of an angle. ​ ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the expression as the cosine of an angle. ​ ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the expression as the cosine of an angle. ​ ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the expression as the cosine of an angle. ​ ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the expression as the cosine of an angle. ​ ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the expression as the cosine of an angle. ​ ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find all solutions of the given equation in the interval [0, 2π). ​
<strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Find the expression as the sine of an angle. ​ <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Simplify the expression algebraically. ​ <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use the formula <strong>Use the formula   , where   , to rewrite the trigonometric expression in the form. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , where <strong>Use the formula   , where   , to rewrite the trigonometric expression in the form. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , to rewrite the trigonometric expression in the form. ​ <strong>Use the formula   , where   , to rewrite the trigonometric expression in the form. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the form. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the form. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the form. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the form. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the form. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Simplify the expression algebraically. ​ <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Simplify the expression algebraically. ​ <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Simplify the expression algebraically. ​ <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)0 C)   D)1 E)6 <div style=padding-top: 35px>

A) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)0 C)   D)1 E)6 <div style=padding-top: 35px>
B)0
C) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)0 C)   D)1 E)6 <div style=padding-top: 35px>
D)1
E)6
سؤال
Use the formula <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3   <div style=padding-top: 35px> , where <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3   <div style=padding-top: 35px> to rewrite the trigonometric expression in the following form. ​ <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3   <div style=padding-top: 35px> <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3   <div style=padding-top: 35px>

A) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3   <div style=padding-top: 35px> <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3   <div style=padding-top: 35px>
B) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3   <div style=padding-top: 35px> <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3   <div style=padding-top: 35px>
C)7 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3   <div style=padding-top: 35px>
D)3 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3   <div style=padding-top: 35px>
E)3 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3   <div style=padding-top: 35px>
سؤال
A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​ <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   ​ Where y is the distance from equilibrium (in feet) and t is the time (in seconds). ​ Use the identity   where   , to write the model in the form   . ​</strong> A)   B)   ​ C)   D)   E)   <div style=padding-top: 35px>
Where y is the distance from equilibrium (in feet) and t is the time (in seconds).

Use the identity <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   ​ Where y is the distance from equilibrium (in feet) and t is the time (in seconds). ​ Use the identity   where   , to write the model in the form   . ​</strong> A)   B)   ​ C)   D)   E)   <div style=padding-top: 35px> where <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   ​ Where y is the distance from equilibrium (in feet) and t is the time (in seconds). ​ Use the identity   where   , to write the model in the form   . ​</strong> A)   B)   ​ C)   D)   E)   <div style=padding-top: 35px> , to write the model in the form <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   ​ Where y is the distance from equilibrium (in feet) and t is the time (in seconds). ​ Use the identity   where   , to write the model in the form   . ​</strong> A)   B)   ​ C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   ​ Where y is the distance from equilibrium (in feet) and t is the time (in seconds). ​ Use the identity   where   , to write the model in the form   . ​</strong> A)   B)   ​ C)   D)   E)   <div style=padding-top: 35px>
B) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   ​ Where y is the distance from equilibrium (in feet) and t is the time (in seconds). ​ Use the identity   where   , to write the model in the form   . ​</strong> A)   B)   ​ C)   D)   E)   <div style=padding-top: 35px>
C) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   ​ Where y is the distance from equilibrium (in feet) and t is the time (in seconds). ​ Use the identity   where   , to write the model in the form   . ​</strong> A)   B)   ​ C)   D)   E)   <div style=padding-top: 35px>
D) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   ​ Where y is the distance from equilibrium (in feet) and t is the time (in seconds). ​ Use the identity   where   , to write the model in the form   . ​</strong> A)   B)   ​ C)   D)   E)   <div style=padding-top: 35px>
E) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   ​ Where y is the distance from equilibrium (in feet) and t is the time (in seconds). ​ Use the identity   where   , to write the model in the form   . ​</strong> A)   B)   ​ C)   D)   E)   <div style=padding-top: 35px>
سؤال
Simplify the expression algebraically. ​ <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)     <div style=padding-top: 35px>

A)- <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)     <div style=padding-top: 35px> <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)     <div style=padding-top: 35px>
B) <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)     <div style=padding-top: 35px> <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)     <div style=padding-top: 35px>
C) <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)     <div style=padding-top: 35px> <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)     <div style=padding-top: 35px>
D) <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)     <div style=padding-top: 35px> <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)     <div style=padding-top: 35px>
E) <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)     <div style=padding-top: 35px> <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)     <div style=padding-top: 35px>
سؤال
Use the formula <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)     <div style=padding-top: 35px> , where <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)     <div style=padding-top: 35px> to rewrite the trigonometric expression in the following form. ​ <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)     <div style=padding-top: 35px> <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)     <div style=padding-top: 35px>

A) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)     <div style=padding-top: 35px>
B) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)     <div style=padding-top: 35px>
C)3 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)     <div style=padding-top: 35px>
D) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)     <div style=padding-top: 35px> <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)     <div style=padding-top: 35px>
E) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)     <div style=padding-top: 35px> <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)     <div style=padding-top: 35px>
سؤال
Use the formula <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px> , where <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px> , to rewrite the trigonometric expression in the following form. ​ <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px> <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px>

A) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px> <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px>
B) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px> <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px>
C) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px> <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px>
D) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px> <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px>
E) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px>
سؤال
Use the formula <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2   <div style=padding-top: 35px> , where <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2   <div style=padding-top: 35px> to rewrite the trigonometric expression in the following form. ​ <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2   <div style=padding-top: 35px> <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2   <div style=padding-top: 35px>

A) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2   <div style=padding-top: 35px> <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2   <div style=padding-top: 35px>
B)9 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2   <div style=padding-top: 35px>
C)9 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2   <div style=padding-top: 35px>
D) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2   <div style=padding-top: 35px> <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2   <div style=padding-top: 35px>
E)2 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2   <div style=padding-top: 35px>
سؤال
Simplify the expression algebraically. ​ <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Simplify the expression algebraically. <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)     <div style=padding-top: 35px>

A) <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)     <div style=padding-top: 35px> <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)     <div style=padding-top: 35px>
B) <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)     <div style=padding-top: 35px> <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)     <div style=padding-top: 35px>
C) <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)     <div style=padding-top: 35px> <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)     <div style=padding-top: 35px>
D) <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)     <div style=padding-top: 35px> <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)     <div style=padding-top: 35px>
E) <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)     <div style=padding-top: 35px> <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)     <div style=padding-top: 35px>
سؤال
Use the formula <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , where <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , to rewrite the trigonometric expression in the form <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> ​ 9 <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use the formula <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     <div style=padding-top: 35px> , where <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     <div style=padding-top: 35px> , to rewrite the trigonometric expression in the following form. ​ <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     <div style=padding-top: 35px> <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     <div style=padding-top: 35px>

A) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     <div style=padding-top: 35px> <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     <div style=padding-top: 35px>
B) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     <div style=padding-top: 35px> <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     <div style=padding-top: 35px>
C) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     <div style=padding-top: 35px>
D) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     <div style=padding-top: 35px> <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     <div style=padding-top: 35px>
E) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     <div style=padding-top: 35px> <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     <div style=padding-top: 35px>
سؤال
Use the formula <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13   <div style=padding-top: 35px> , where <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13   <div style=padding-top: 35px> to rewrite the trigonometric expression in the following form. ​ <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13   <div style=padding-top: 35px> <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13   <div style=padding-top: 35px>

A)6 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13   <div style=padding-top: 35px>
B) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13   <div style=padding-top: 35px> <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13   <div style=padding-top: 35px>
C) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13   <div style=padding-top: 35px> <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13   <div style=padding-top: 35px>
D)13 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13   <div style=padding-top: 35px>
E)13 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13   <div style=padding-top: 35px>
سؤال
Use the formula <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8   <div style=padding-top: 35px> , where <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8   <div style=padding-top: 35px> , to rewrite the trigonometric expression in the following form. ​ <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8   <div style=padding-top: 35px> <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8   <div style=padding-top: 35px>

A)2 <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8   <div style=padding-top: 35px>
B) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8   <div style=padding-top: 35px> <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8   <div style=padding-top: 35px>
C) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8   <div style=padding-top: 35px> <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8   <div style=padding-top: 35px>
D)2 <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8   <div style=padding-top: 35px>
E)8 <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8   <div style=padding-top: 35px>
سؤال
Use the formula <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px> , where <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px> , to rewrite the trigonometric expression in the following form. ​ <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px> <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px>

A) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px> <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px>
B) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px> <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px>
C) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px> <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px>
D) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px> <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px>
E) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <div style=padding-top: 35px>
سؤال
A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​ <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   where y is the distance from equilibrium (in feet) and t is the time (in seconds). Find the amplitude of the oscillations of the weight. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> where y is the distance from equilibrium (in feet) and t is the time (in seconds).
Find the amplitude of the oscillations of the weight.

A) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   where y is the distance from equilibrium (in feet) and t is the time (in seconds). Find the amplitude of the oscillations of the weight. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   where y is the distance from equilibrium (in feet) and t is the time (in seconds). Find the amplitude of the oscillations of the weight. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   where y is the distance from equilibrium (in feet) and t is the time (in seconds). Find the amplitude of the oscillations of the weight. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   where y is the distance from equilibrium (in feet) and t is the time (in seconds). Find the amplitude of the oscillations of the weight. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   where y is the distance from equilibrium (in feet) and t is the time (in seconds). Find the amplitude of the oscillations of the weight. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Simplify the expression algebraically. ​ <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Simplify the expression algebraically. <strong>Simplify the expression algebraically.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Simplify the expression algebraically.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Simplify the expression algebraically.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Simplify the expression algebraically.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Simplify the expression algebraically.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Simplify the expression algebraically.   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Deck 2: Analytic-Trigonometry
1
Use the figure to find the exact value of the trigonometric function. ​
Tan 2θ
<strong>Use the figure to find the exact value of the trigonometric function. ​ Tan 2θ ​   ​ A = 1, b = 6 ​</strong> A)   B)   C)​   D)​   E)​
A = 1, b = 6

A) <strong>Use the figure to find the exact value of the trigonometric function. ​ Tan 2θ ​   ​ A = 1, b = 6 ​</strong> A)   B)   C)​   D)​   E)​
B) <strong>Use the figure to find the exact value of the trigonometric function. ​ Tan 2θ ​   ​ A = 1, b = 6 ​</strong> A)   B)   C)​   D)​   E)​
C)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Tan 2θ ​   ​ A = 1, b = 6 ​</strong> A)   B)   C)​   D)​   E)​
D)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Tan 2θ ​   ​ A = 1, b = 6 ​</strong> A)   B)   C)​   D)​   E)​
E)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Tan 2θ ​   ​ A = 1, b = 6 ​</strong> A)   B)   C)​   D)​   E)​
2
Use the half-angle formulas to simplify the expression. ​ <strong>Use the half-angle formulas to simplify the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Use the half-angle formulas to simplify the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use the half-angle formulas to simplify the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use the half-angle formulas to simplify the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use the half-angle formulas to simplify the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use the half-angle formulas to simplify the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
​
3
Use a double-angle formula to rewrite the expression. ​
<strong>Use a double-angle formula to rewrite the expression. ​ ​   ​</strong> A)​sin x B)​​2 sin x C)​​​2 sin 2x D)​ sin x E)​ sin 2x

A)​sin x
B)​​2 sin x
C)​​​2 sin 2x
D)​ sin x
E)​ sin 2x
​ sin 2x
4
Use the half-angle formulas to simplify the expression. ​
<strong>Use the half-angle formulas to simplify the expression. ​ ​   ​</strong> A)​- ​|cos x| B)​|cos x| C)​​|cos 4x| D)​​- |cos 4x| E)​- ​|cos 8x|

A)​- ​|cos x|
B)​|cos x|
C)​​|cos 4x|
D)​​- |cos 4x|
E)​- ​|cos 8x|
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5
Use a double-angle formula to rewrite the expression. ​
2 sin2 x - 1

A)cos x
B)cos 2x ​
C)-2 cos x ​
D)2 cos 2x ​
E)- cos 2x ​
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6
Use a double-angle formula to rewrite the expression. ​
10 cos2 x - 5

A)5 cos x
B)​cos 5x
C)​10 cos 2x
D)​10 cos x
E)​5 cos 2x
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7
Use the product-to-sum formulas to rewrite the product as a sum or difference. ​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)   E)​

A)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)   E)​
B)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)   E)​
C)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)   E)​
D) <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)   E)​
E)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)   E)​
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8
Use the figure to find the exact value of the trigonometric function. ​
Cos 2θ
<strong>Use the figure to find the exact value of the trigonometric function. ​ Cos 2θ ​   ​ A = 1, b = 2 ​</strong> A)​   B)   C)​   D)​   E)​
A = 1, b = 2

A)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Cos 2θ ​   ​ A = 1, b = 2 ​</strong> A)​   B)   C)​   D)​   E)​
B) <strong>Use the figure to find the exact value of the trigonometric function. ​ Cos 2θ ​   ​ A = 1, b = 2 ​</strong> A)​   B)   C)​   D)​   E)​
C)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Cos 2θ ​   ​ A = 1, b = 2 ​</strong> A)​   B)   C)​   D)​   E)​
D)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Cos 2θ ​   ​ A = 1, b = 2 ​</strong> A)​   B)   C)​   D)​   E)​
E)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Cos 2θ ​   ​ A = 1, b = 2 ​</strong> A)​   B)   C)​   D)​   E)​
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9
Use the product-to-sum formulas to rewrite the product as a sum or difference. ​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
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10
Use a double-angle formula to rewrite the expression. ​
3 - 6 sin2 x

A)6 cos x
B)​3 sin 2x
C)​3 sin x
D)​3 cos 2x
E)​6 cos 2x
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11
Use the product-to-sum formulas to rewrite the product as a sum or difference. ​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
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12
Use the figure to find the exact value of the trigonometric function. ​
Sin 2θ
<strong>Use the figure to find the exact value of the trigonometric function. ​ Sin 2θ ​   ​ A = 1, b = 2 ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
A = 1, b = 2

A) <strong>Use the figure to find the exact value of the trigonometric function. ​ Sin 2θ ​   ​ A = 1, b = 2 ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
B) <strong>Use the figure to find the exact value of the trigonometric function. ​ Sin 2θ ​   ​ A = 1, b = 2 ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
C) <strong>Use the figure to find the exact value of the trigonometric function. ​ Sin 2θ ​   ​ A = 1, b = 2 ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
D) <strong>Use the figure to find the exact value of the trigonometric function. ​ Sin 2θ ​   ​ A = 1, b = 2 ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
E) <strong>Use the figure to find the exact value of the trigonometric function. ​ Sin 2θ ​   ​ A = 1, b = 2 ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
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13
Use the figure to find the exact value of the trigonometric function. ​
Csc 2θ
<strong>Use the figure to find the exact value of the trigonometric function. ​ Csc 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)​   C)   D)​   E)
A = 1, b = 6

A)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Csc 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)​   C)   D)​   E)
B)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Csc 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)​   C)   D)​   E)
C) <strong>Use the figure to find the exact value of the trigonometric function. ​ Csc 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)​   C)   D)​   E)
D)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Csc 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)​   C)   D)​   E)
E) <strong>Use the figure to find the exact value of the trigonometric function. ​ Csc 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)​   C)   D)​   E)
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14
Use the half-angle formulas to simplify the expression. ​
<strong>Use the half-angle formulas to simplify the expression. ​ ​   ​</strong> A)|sin 5x| B)- |sin x| C)|sin 10x| D)- |sin 5x| E)|sin x|

A)|sin 5x|
B)- |sin x|
C)|sin 10x|
D)- |sin 5x|
E)|sin x|
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15
Use the product-to-sum formulas to rewrite the product as a sum or difference. ​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use the product-to-sum formulas to rewrite the product as a sum or difference. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
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16
Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​

A)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​
B)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​
C)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​
D)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​
E)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​
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17
Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
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18
Use the half-angle formulas to simplify the expression. ​ <strong>Use the half-angle formulas to simplify the expression. ​   ​</strong> A)​- |cot x| B)​- |3 tan x| C)​- |3 tan 6x| D)​- |3 cot 3x| E)​- |cot 3x|

A)​- |cot x|
B)​- |3 tan x|
C)​- |3 tan 6x|
D)​- |3 cot 3x|
E)​- |cot 3x|
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19
Use the figure to find the exact value of the trigonometric function. ​
Sec 2θ
<strong>Use the figure to find the exact value of the trigonometric function. ​ Sec 2θ ​   ​ A = 1, b = 8 ​</strong> A)​   B)   C)​   D)​   E)
A = 1, b = 8

A)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Sec 2θ ​   ​ A = 1, b = 8 ​</strong> A)​   B)   C)​   D)​   E)
B) <strong>Use the figure to find the exact value of the trigonometric function. ​ Sec 2θ ​   ​ A = 1, b = 8 ​</strong> A)​   B)   C)​   D)​   E)
C)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Sec 2θ ​   ​ A = 1, b = 8 ​</strong> A)​   B)   C)​   D)​   E)
D)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Sec 2θ ​   ​ A = 1, b = 8 ​</strong> A)​   B)   C)​   D)​   E)
E) <strong>Use the figure to find the exact value of the trigonometric function. ​ Sec 2θ ​   ​ A = 1, b = 8 ​</strong> A)​   B)   C)​   D)​   E)
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20
Use the figure to find the exact value of the trigonometric function. ​
Cot 2θ
<strong>Use the figure to find the exact value of the trigonometric function. ​ Cot 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)   C)   D)​   E)
A = 1, b = 6

A)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Cot 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)   C)   D)​   E)
B) <strong>Use the figure to find the exact value of the trigonometric function. ​ Cot 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)   C)   D)​   E)
C) <strong>Use the figure to find the exact value of the trigonometric function. ​ Cot 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)   C)   D)​   E)
D)​ <strong>Use the figure to find the exact value of the trigonometric function. ​ Cot 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)   C)   D)​   E)
E) <strong>Use the figure to find the exact value of the trigonometric function. ​ Cot 2θ ​   ​ A = 1, b = 6 ​</strong> A)​   B)   C)   D)​   E)
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21
Convert the expression. ​ <strong>Convert the expression. ​   ​ ​</strong> A)​   B)   C)​   D)   E)

A)​ <strong>Convert the expression. ​   ​ ​</strong> A)​   B)   C)​   D)   E)
B) <strong>Convert the expression. ​   ​ ​</strong> A)​   B)   C)​   D)   E)
C)​ <strong>Convert the expression. ​   ​ ​</strong> A)​   B)   C)​   D)   E)
D) <strong>Convert the expression. ​   ​ ​</strong> A)​   B)   C)​   D)   E)
E) <strong>Convert the expression. ​   ​ ​</strong> A)​   B)   C)​   D)   E)
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22
Convert the expression. ​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
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23
Find the exact solutions of the given equation in the interval [0, 2π). ​
<strong>Find the exact solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​
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24
The mach number M of an airplane is the ratio of its speed to the speed of sound.When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane (see figure).The mach number is related to the apex angle θ of the cone by <strong>The mach number M of an airplane is the ratio of its speed to the speed of sound.When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane (see figure).The mach number is related to the apex angle θ of the cone by   . ​   ​ Rewrite the equation in terms of θ. ​</strong> A)​   B)​   C)​   D)​   E)   . ​ <strong>The mach number M of an airplane is the ratio of its speed to the speed of sound.When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane (see figure).The mach number is related to the apex angle θ of the cone by   . ​   ​ Rewrite the equation in terms of θ. ​</strong> A)​   B)​   C)​   D)​   E)
Rewrite the equation in terms of θ.

A)​ <strong>The mach number M of an airplane is the ratio of its speed to the speed of sound.When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane (see figure).The mach number is related to the apex angle θ of the cone by   . ​   ​ Rewrite the equation in terms of θ. ​</strong> A)​   B)​   C)​   D)​   E)
B)​ <strong>The mach number M of an airplane is the ratio of its speed to the speed of sound.When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane (see figure).The mach number is related to the apex angle θ of the cone by   . ​   ​ Rewrite the equation in terms of θ. ​</strong> A)​   B)​   C)​   D)​   E)
C)​ <strong>The mach number M of an airplane is the ratio of its speed to the speed of sound.When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane (see figure).The mach number is related to the apex angle θ of the cone by   . ​   ​ Rewrite the equation in terms of θ. ​</strong> A)​   B)​   C)​   D)​   E)
D)​ <strong>The mach number M of an airplane is the ratio of its speed to the speed of sound.When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane (see figure).The mach number is related to the apex angle θ of the cone by   . ​   ​ Rewrite the equation in terms of θ. ​</strong> A)​   B)​   C)​   D)​   E)
E) <strong>The mach number M of an airplane is the ratio of its speed to the speed of sound.When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane (see figure).The mach number is related to the apex angle θ of the cone by   . ​   ​ Rewrite the equation in terms of θ. ​</strong> A)​   B)​   C)​   D)​   E)
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25
Convert the expression. ​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​

A)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​
B)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​
C)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​
D)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​
E)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   ​ D)​   E)​
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26
Use the sum-to-product formulas to rewrite the sum or difference as a product. ​
Cos 3θ + cos 8θ

A)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ Cos 3θ + cos 8θ ​</strong> A)​   B)​   C)​   D)​   E)
B)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ Cos 3θ + cos 8θ ​</strong> A)​   B)​   C)​   D)​   E)
C)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ Cos 3θ + cos 8θ ​</strong> A)​   B)​   C)​   D)​   E)
D)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ Cos 3θ + cos 8θ ​</strong> A)​   B)​   C)​   D)​   E)
E) <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ Cos 3θ + cos 8θ ​</strong> A)​   B)​   C)​   D)​   E)
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27
Use a double-angle formula to find the exact value of cos2u when ​ <strong>Use a double-angle formula to find the exact value of cos2u when ​  </strong> A)   B)​   C)​   D)​   E)​

A) <strong>Use a double-angle formula to find the exact value of cos2u when ​  </strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Use a double-angle formula to find the exact value of cos2u when ​  </strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Use a double-angle formula to find the exact value of cos2u when ​  </strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Use a double-angle formula to find the exact value of cos2u when ​  </strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Use a double-angle formula to find the exact value of cos2u when ​  </strong> A)   B)​   C)​   D)​   E)​
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28
When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure).The radius of each arc r (in feet) and the angle θ are related by ​ <strong>When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure).The radius of each arc r (in feet) and the angle θ are related by ​   ​ Write a formula for x in terms of cos θ. ​   ​</strong> A)​   B)​   C)   ​ D)   ​ E)   ​
Write a formula for x in terms of cos θ.
<strong>When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure).The radius of each arc r (in feet) and the angle θ are related by ​   ​ Write a formula for x in terms of cos θ. ​   ​</strong> A)​   B)​   C)   ​ D)   ​ E)   ​

A)​ <strong>When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure).The radius of each arc r (in feet) and the angle θ are related by ​   ​ Write a formula for x in terms of cos θ. ​   ​</strong> A)​   B)​   C)   ​ D)   ​ E)   ​
B)​ <strong>When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure).The radius of each arc r (in feet) and the angle θ are related by ​   ​ Write a formula for x in terms of cos θ. ​   ​</strong> A)​   B)​   C)   ​ D)   ​ E)   ​
C) <strong>When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure).The radius of each arc r (in feet) and the angle θ are related by ​   ​ Write a formula for x in terms of cos θ. ​   ​</strong> A)​   B)​   C)   ​ D)   ​ E)   ​
D) <strong>When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure).The radius of each arc r (in feet) and the angle θ are related by ​   ​ Write a formula for x in terms of cos θ. ​   ​</strong> A)​   B)​   C)   ​ D)   ​ E)   ​
E) <strong>When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure).The radius of each arc r (in feet) and the angle θ are related by ​   ​ Write a formula for x in terms of cos θ. ​   ​</strong> A)​   B)​   C)   ​ D)   ​ E)   ​
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29
Convert the expression. ​ <strong>Convert the expression. ​   ​</strong> A)2 cos b B)​cos 2b C)​​cos b D)2 ​cos 2b E)​4 cos b

A)2 cos b
B)​cos 2b
C)​​cos b
D)2 ​cos 2b
E)​4 cos b
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30
Find the exact solutions of the given equation in the interval [0, 2π). ​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​  </strong> A)​   B)​   C)​   D)​x = 0 E)​

A)​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​  </strong> A)​   B)​   C)​   D)​x = 0 E)​
B)​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​  </strong> A)​   B)​   C)​   D)​x = 0 E)​
C)​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​  </strong> A)​   B)​   C)​   D)​x = 0 E)​
D)​x = 0
E)​ <strong>Find the exact solutions of the given equation in the interval [0, 2π). ​  </strong> A)​   B)​   C)​   D)​x = 0 E)​
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31
Use the sum-to-product formulas to rewrite the sum or difference as a product. ​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use the sum-to-product formulas to rewrite the sum or difference as a product. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
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32
Use the figure below to determine the exact value of the given function. ​ <strong>Use the figure below to determine the exact value of the given function. ​    </strong> A)​   B)​   C)​   D)​   E)​   <strong>Use the figure below to determine the exact value of the given function. ​    </strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Use the figure below to determine the exact value of the given function. ​    </strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use the figure below to determine the exact value of the given function. ​    </strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use the figure below to determine the exact value of the given function. ​    </strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use the figure below to determine the exact value of the given function. ​    </strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use the figure below to determine the exact value of the given function. ​    </strong> A)​   B)​   C)​   D)​   E)​
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33
Convert the expression. ​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)​   E)​
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34
Use the figure to find the exact value of the trigonometric function. ​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Cos 2β ​</strong> A)​   B)​   C)   D)​   E)​   <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Cos 2β ​</strong> A)​   B)​   C)   D)​   E)​
Cos 2β

A)​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Cos 2β ​</strong> A)​   B)​   C)   D)​   E)​
B)​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Cos 2β ​</strong> A)​   B)​   C)   D)​   E)​
C) <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Cos 2β ​</strong> A)​   B)​   C)   D)​   E)​
D)​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Cos 2β ​</strong> A)​   B)​   C)   D)​   E)​
E)​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Cos 2β ​</strong> A)​   B)​   C)   D)​   E)​
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35
Use the figure to find the exact value of the trigonometric function. ​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Sin 2α ​</strong> A)​   B)​   C)​   ​ D)​   E)   <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Sin 2α ​</strong> A)​   B)​   C)​   ​ D)​   E)
Sin 2α

A)​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Sin 2α ​</strong> A)​   B)​   C)​   ​ D)​   E)
B)​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Sin 2α ​</strong> A)​   B)​   C)​   ​ D)​   E)
C)​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Sin 2α ​</strong> A)​   B)​   C)​   ​ D)​   E)
D)​ <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Sin 2α ​</strong> A)​   B)​   C)​   ​ D)​   E)
E) <strong>Use the figure to find the exact value of the trigonometric function. ​     ​ Sin 2α ​</strong> A)​   B)​   C)​   ​ D)​   E)
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36
Convert the expression. ​
<strong>Convert the expression. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>Convert the expression. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Convert the expression. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Convert the expression. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Convert the expression. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Convert the expression. ​ ​   ​</strong> A)   B)​   C)​   D)​   E)​
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37
Convert the expression. ​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)   E)​

A)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)   E)​
B)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)   E)​
C)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)   E)​
D) <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)   E)​
E)​ <strong>Convert the expression. ​   ​</strong> A)​   B)​   C)​   D)   E)​
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38
Use the sum-to-product formulas to select the sum or difference as a product. ​ <strong>Use the sum-to-product formulas to select the sum or difference as a product. ​   ​</strong> A)​   B)​   C)   D)​   E)​

A)​ <strong>Use the sum-to-product formulas to select the sum or difference as a product. ​   ​</strong> A)​   B)​   C)   D)​   E)​
B)​ <strong>Use the sum-to-product formulas to select the sum or difference as a product. ​   ​</strong> A)​   B)​   C)   D)​   E)​
C) <strong>Use the sum-to-product formulas to select the sum or difference as a product. ​   ​</strong> A)​   B)​   C)   D)​   E)​
D)​ <strong>Use the sum-to-product formulas to select the sum or difference as a product. ​   ​</strong> A)​   B)​   C)   D)​   E)​
E)​ <strong>Use the sum-to-product formulas to select the sum or difference as a product. ​   ​</strong> A)​   B)​   C)   D)​   E)​
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39
Use a double angle formula to rewrite the given expression. <strong>Use a double angle formula to rewrite the given expression.  </strong> A)   B)   ​ C)   ​ D)   ​ E)   ​

A) <strong>Use a double angle formula to rewrite the given expression.  </strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
B) <strong>Use a double angle formula to rewrite the given expression.  </strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
C) <strong>Use a double angle formula to rewrite the given expression.  </strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
D) <strong>Use a double angle formula to rewrite the given expression.  </strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
E) <strong>Use a double angle formula to rewrite the given expression.  </strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
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40
Convert the expression. ​
<strong>Convert the expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Convert the expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Convert the expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Convert the expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Convert the expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Convert the expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​
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41
The range of a projectile fired at an angle θ with the horizontal and with an initial velocity of v0 feet per second is <strong>The range of a projectile fired at an angle θ with the horizontal and with an initial velocity of v<sub>0</sub> feet per second is   where r is measured in feet.A golfer strikes a golf ball at 90 feet per second.Ignoring the effects of air resistance, at what angle must the golfer hit the ball so that it travels 150 feet? (Round your answer to the nearest degree.)</strong> A)14° B)36° C)18° D)27° E)41° where r is measured in feet.A golfer strikes a golf ball at 90 feet per second.Ignoring the effects of air resistance, at what angle must the golfer hit the ball so that it travels 150 feet? (Round your answer to the nearest degree.)

A)14°
B)36°
C)18°
D)27°
E)41°
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42
Use the sum-to-product formulas to write the given expression as a product. ​
<strong>Use the sum-to-product formulas to write the given expression as a product. ​ ​   ​</strong> A)​​2 sin 4θ cos θ B)​-2 sin 4θ sin θ C)-​2 cos 4θ cos θ D)​2 cos 4θ sin θ E)​​2 cos 4θ cos θ

A)​​2 sin 4θ cos θ
B)​-2 sin 4θ sin θ
C)-​2 cos 4θ cos θ
D)​2 cos 4θ sin θ
E)​​2 cos 4θ cos θ
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43
Find all solutions of the given equation in the interval [0, 2π). ​
<strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​x = 0

A)​ <strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​x = 0
B)​ <strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​x = 0
C)​ <strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​x = 0
D)​ <strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​x = 0
E)​x = 0
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44
Find the expression as the tangent of an angle. ​ <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)
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45
Find the expression as the tangent of an angle. ​ <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)
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46
Use the figure below to find the exact value of the given trigonometric expression. <strong>Use the figure below to find the exact value of the given trigonometric expression.    </strong> A)​   B)​   C)​   D)​   E)​   <strong>Use the figure below to find the exact value of the given trigonometric expression.    </strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Use the figure below to find the exact value of the given trigonometric expression.    </strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use the figure below to find the exact value of the given trigonometric expression.    </strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use the figure below to find the exact value of the given trigonometric expression.    </strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use the figure below to find the exact value of the given trigonometric expression.    </strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use the figure below to find the exact value of the given trigonometric expression.    </strong> A)​   B)​   C)​   D)​   E)​
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47
Use the half-angle formulas to determine the exact value of the given trigonometric expression. ​
<strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   ​ E)​

A)​ <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   ​ E)​
B)​ <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   ​ E)​
C)​ <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   ​ E)​
D)​ <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   ​ E)​
E)​ <strong>Use the half-angle formulas to determine the exact value of the given trigonometric expression. ​ ​   ​</strong> A)​   B)​   C)​   D)​   ​ E)​
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48
Find the expression as the sine or cosine of an angle. ​ <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
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49
Find the expression as the tangent of an angle. ​ <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the expression as the tangent of an angle. ​   ​</strong> A)   B)   C)   D)   E)
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50
Use the half-angle formula to simplify the given expression. ​
<strong>Use the half-angle formula to simplify the given expression. ​ ​   ​</strong> A)​​cos |2x| B)​​cos |8x| C)​​cos |16x| D)​​cos |32x| E)​cos |4x|

A)​​cos |2x|
B)​​cos |8x|
C)​​cos |16x|
D)​​cos |32x|
E)​cos |4x|
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51
Simplify the expression algebraically. ​ <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
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52
Use the sum-to-product formulas to find the exact value of the given expression. ​
<strong>Use the sum-to-product formulas to find the exact value of the given expression. ​ ​   ​</strong> A)​   B)​1 C)​   D)-1 E)0

A)​ <strong>Use the sum-to-product formulas to find the exact value of the given expression. ​ ​   ​</strong> A)​   B)​1 C)​   D)-1 E)0
B)​1
C)​ <strong>Use the sum-to-product formulas to find the exact value of the given expression. ​ ​   ​</strong> A)​   B)​1 C)​   D)-1 E)0
D)-1
E)0
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53
Find the expression as the sine of an angle. ​ <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
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54
Find the expression as the sine or cosine of an angle. ​ <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the expression as the sine or cosine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
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55
​Use the figure below to find the exact value of the given trigonometric expression. <strong>​Use the figure below to find the exact value of the given trigonometric expression.   ​ ​   10 24 (figure not necessarily to scale) ​</strong> A)​   B)​   C)​   D)​   E)​   ​ ​ <strong>​Use the figure below to find the exact value of the given trigonometric expression.   ​ ​   10 24 (figure not necessarily to scale) ​</strong> A)​   B)​   C)​   D)​   E)​   10
24
(figure not necessarily to scale)

A)​ <strong>​Use the figure below to find the exact value of the given trigonometric expression.   ​ ​   10 24 (figure not necessarily to scale) ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>​Use the figure below to find the exact value of the given trigonometric expression.   ​ ​   10 24 (figure not necessarily to scale) ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>​Use the figure below to find the exact value of the given trigonometric expression.   ​ ​   10 24 (figure not necessarily to scale) ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>​Use the figure below to find the exact value of the given trigonometric expression.   ​ ​   10 24 (figure not necessarily to scale) ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>​Use the figure below to find the exact value of the given trigonometric expression.   ​ ​   10 24 (figure not necessarily to scale) ​</strong> A)​   B)​   C)​   D)​   E)​
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56
Use the product-to-sum formula to write the given product as a sum or difference. ​ <strong>Use the product-to-sum formula to write the given product as a sum or difference. ​   ​</strong> A)​   B)   ​ C)   ​ D)   ​ E)   ​

A)​ <strong>Use the product-to-sum formula to write the given product as a sum or difference. ​   ​</strong> A)​   B)   ​ C)   ​ D)   ​ E)   ​
B) <strong>Use the product-to-sum formula to write the given product as a sum or difference. ​   ​</strong> A)​   B)   ​ C)   ​ D)   ​ E)   ​
C) <strong>Use the product-to-sum formula to write the given product as a sum or difference. ​   ​</strong> A)​   B)   ​ C)   ​ D)   ​ E)   ​
D) <strong>Use the product-to-sum formula to write the given product as a sum or difference. ​   ​</strong> A)​   B)   ​ C)   ​ D)   ​ E)   ​
E) <strong>Use the product-to-sum formula to write the given product as a sum or difference. ​   ​</strong> A)​   B)   ​ C)   ​ D)   ​ E)   ​
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57
Find the expression as the cosine of an angle. ​
<strong>Find the expression as the cosine of an angle. ​ ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the expression as the cosine of an angle. ​ ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the expression as the cosine of an angle. ​ ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the expression as the cosine of an angle. ​ ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the expression as the cosine of an angle. ​ ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the expression as the cosine of an angle. ​ ​   ​</strong> A)   B)   C)   D)   E)
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58
Find all solutions of the given equation in the interval [0, 2π). ​
<strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Find all solutions of the given equation in the interval [0, 2π). ​ ​   ​</strong> A)​   B)​   C)​   D)​   E)​
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59
Find the expression as the sine of an angle. ​ <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the expression as the sine of an angle. ​   ​</strong> A)   B)   C)   D)   E)
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60
Simplify the expression algebraically. ​ <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
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61
Use the formula <strong>Use the formula   , where   , to rewrite the trigonometric expression in the form. ​   ​</strong> A)   B)   C)   D)   E)   , where <strong>Use the formula   , where   , to rewrite the trigonometric expression in the form. ​   ​</strong> A)   B)   C)   D)   E)   , to rewrite the trigonometric expression in the form. ​ <strong>Use the formula   , where   , to rewrite the trigonometric expression in the form. ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the form. ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the form. ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the form. ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the form. ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the form. ​   ​</strong> A)   B)   C)   D)   E)
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62
Simplify the expression algebraically. ​ <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
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63
Simplify the expression algebraically. ​ <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
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64
Simplify the expression algebraically. ​ <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)0 C)   D)1 E)6

A) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)0 C)   D)1 E)6
B)0
C) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)0 C)   D)1 E)6
D)1
E)6
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Use the formula <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3   , where <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3   to rewrite the trigonometric expression in the following form. ​ <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3   <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3

A) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3   <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3
B) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3   <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3
C)7 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3
D)3 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3
E)3 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)7   D)3   E)3
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A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​ <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   ​ Where y is the distance from equilibrium (in feet) and t is the time (in seconds). ​ Use the identity   where   , to write the model in the form   . ​</strong> A)   B)   ​ C)   D)   E)
Where y is the distance from equilibrium (in feet) and t is the time (in seconds).

Use the identity <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   ​ Where y is the distance from equilibrium (in feet) and t is the time (in seconds). ​ Use the identity   where   , to write the model in the form   . ​</strong> A)   B)   ​ C)   D)   E)   where <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   ​ Where y is the distance from equilibrium (in feet) and t is the time (in seconds). ​ Use the identity   where   , to write the model in the form   . ​</strong> A)   B)   ​ C)   D)   E)   , to write the model in the form <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   ​ Where y is the distance from equilibrium (in feet) and t is the time (in seconds). ​ Use the identity   where   , to write the model in the form   . ​</strong> A)   B)   ​ C)   D)   E)   .

A) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   ​ Where y is the distance from equilibrium (in feet) and t is the time (in seconds). ​ Use the identity   where   , to write the model in the form   . ​</strong> A)   B)   ​ C)   D)   E)
B) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   ​ Where y is the distance from equilibrium (in feet) and t is the time (in seconds). ​ Use the identity   where   , to write the model in the form   . ​</strong> A)   B)   ​ C)   D)   E)
C) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   ​ Where y is the distance from equilibrium (in feet) and t is the time (in seconds). ​ Use the identity   where   , to write the model in the form   . ​</strong> A)   B)   ​ C)   D)   E)
D) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   ​ Where y is the distance from equilibrium (in feet) and t is the time (in seconds). ​ Use the identity   where   , to write the model in the form   . ​</strong> A)   B)   ​ C)   D)   E)
E) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   ​ Where y is the distance from equilibrium (in feet) and t is the time (in seconds). ​ Use the identity   where   , to write the model in the form   . ​</strong> A)   B)   ​ C)   D)   E)
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67
Simplify the expression algebraically. ​ <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)

A)- <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)     <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)
B) <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)     <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)
C) <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)     <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)
D) <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)     <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)
E) <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)     <strong>Simplify the expression algebraically. ​   ​</strong> A)-     B)     C)     D)     E)
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Use the formula <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)     , where <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)     to rewrite the trigonometric expression in the following form. ​ <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)     <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)

A) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)
B) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)
C)3 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)
D) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)     <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)
E) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)     <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)   B)   C)3   D)     E)
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Use the formula <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   , where <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   , to rewrite the trigonometric expression in the following form. ​ <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)

A) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)
B) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)
C) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)
D) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)
E) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)
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Use the formula <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2   , where <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2   to rewrite the trigonometric expression in the following form. ​ <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2   <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2

A) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2   <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2
B)9 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2
C)9 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2
D) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2   <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2
E)2 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)9   C)9   D)     E)2
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71
Simplify the expression algebraically. ​ <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
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72
Simplify the expression algebraically. <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)

A) <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)     <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)
B) <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)     <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)
C) <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)     <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)
D) <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)     <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)
E) <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)     <strong>Simplify the expression algebraically.   ​</strong> A)     B)     C)     D)     E)
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Use the formula <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)   , where <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)   <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)   , to rewrite the trigonometric expression in the form <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)   ​ 9 <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)

A) <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)
B) <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)
C) <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)
D) <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)
E) <strong>Use the formula   , where     , to rewrite the trigonometric expression in the form   ​ 9   ​</strong> A)   B)   C)   D)   E)
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Use the formula <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     , where <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     , to rewrite the trigonometric expression in the following form. ​ <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)

A) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)
B) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)
C) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)
D) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)
E) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)     <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)   D)     E)
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Use the formula <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13   , where <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13   to rewrite the trigonometric expression in the following form. ​ <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13   <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13

A)6 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13
B) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13   <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13
C) <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13   <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13
D)13 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13
E)13 <strong>Use the formula   , where   to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)6   B)     C)     D)13   E)13
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Use the formula <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8   , where <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8   , to rewrite the trigonometric expression in the following form. ​ <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8   <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8

A)2 <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8
B) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8   <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8
C) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8   <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8
D)2 <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8
E)8 <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)2   B)     C)     D)2   E)8
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Use the formula <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   , where <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   , to rewrite the trigonometric expression in the following form. ​ <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)

A) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)
B) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)
C) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)
D) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)   <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)
E) <strong>Use the formula   , where   , to rewrite the trigonometric expression in the following form. ​   ​   ​</strong> A)     B)     C)     D)     E)
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A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​ <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   where y is the distance from equilibrium (in feet) and t is the time (in seconds). Find the amplitude of the oscillations of the weight. ​</strong> A)   B)   C)   D)   E)   where y is the distance from equilibrium (in feet) and t is the time (in seconds).
Find the amplitude of the oscillations of the weight.

A) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   where y is the distance from equilibrium (in feet) and t is the time (in seconds). Find the amplitude of the oscillations of the weight. ​</strong> A)   B)   C)   D)   E)
B) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   where y is the distance from equilibrium (in feet) and t is the time (in seconds). Find the amplitude of the oscillations of the weight. ​</strong> A)   B)   C)   D)   E)
C) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   where y is the distance from equilibrium (in feet) and t is the time (in seconds). Find the amplitude of the oscillations of the weight. ​</strong> A)   B)   C)   D)   E)
D) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   where y is the distance from equilibrium (in feet) and t is the time (in seconds). Find the amplitude of the oscillations of the weight. ​</strong> A)   B)   C)   D)   E)
E) <strong>A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by ​   where y is the distance from equilibrium (in feet) and t is the time (in seconds). Find the amplitude of the oscillations of the weight. ​</strong> A)   B)   C)   D)   E)
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Simplify the expression algebraically. ​ <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)

A) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
B) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
C) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
D) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
E) <strong>Simplify the expression algebraically. ​   ​</strong> A)   B)   C)   D)   E)
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Simplify the expression algebraically. <strong>Simplify the expression algebraically.   ​</strong> A)   B)   C)   D)   E)

A) <strong>Simplify the expression algebraically.   ​</strong> A)   B)   C)   D)   E)
B) <strong>Simplify the expression algebraically.   ​</strong> A)   B)   C)   D)   E)
C) <strong>Simplify the expression algebraically.   ​</strong> A)   B)   C)   D)   E)
D) <strong>Simplify the expression algebraically.   ​</strong> A)   B)   C)   D)   E)
E) <strong>Simplify the expression algebraically.   ​</strong> A)   B)   C)   D)   E)
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