Deck 11: Analytic Trigonometry

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سؤال
If <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , use trigonometric substitution to write <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> as a trigonometric function of <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , where <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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سؤال
Which of the following is not an identity? <strong>Which of the following is not an identity?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Which of the following is not an identity?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which of the following is not an identity?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which of the following is not an identity?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which of the following is not an identity?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which of the following is not an identity?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Verify the identity shown below. Verify the identity shown below.  <div style=padding-top: 35px>
سؤال
Verify the identity shown below. Verify the identity shown below.  <div style=padding-top: 35px>
سؤال
Verify the identity shown below. Verify the identity shown below.  <div style=padding-top: 35px>
سؤال
Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent. <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
If <strong>If   , evaluate the function below.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , evaluate the function below. <strong>If   , evaluate the function below.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>If   , evaluate the function below.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>If   , evaluate the function below.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>If   , evaluate the function below.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>If   , evaluate the function below.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If   , evaluate the function below.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If   , evaluate the function below.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. <strong>Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Rewrite <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> as a single logarithm and then simplify the result.

A) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Which of the following is equivalent to the expression below? <strong>Which of the following is equivalent to the expression below?    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Which of the following is equivalent to the expression below?    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Which of the following is equivalent to the expression below?    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which of the following is equivalent to the expression below?    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which of the following is equivalent to the expression below?    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which of the following is equivalent to the expression below?    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which of the following is equivalent to the expression below?    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Verify the identity shown below. Verify the identity shown below.  <div style=padding-top: 35px>
سؤال
Use a graphing utility to determine which of the trigonometric functions is equal to the following expression. <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
If <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , use trigonometric substitution to write <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> as a trigonometric function of <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , where <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .

A) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Verify the identity shown below. Verify the identity shown below.  <div style=padding-top: 35px>
سؤال
The rate of change of the function <strong>The rate of change of the function   is given by the expression   <sup>.</sup>Which of the following is its simplification?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is given by the expression <strong>The rate of change of the function   is given by the expression   <sup>.</sup>Which of the following is its simplification?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .Which of the following is its simplification? <strong>The rate of change of the function   is given by the expression   <sup>.</sup>Which of the following is its simplification?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>The rate of change of the function   is given by the expression   <sup>.</sup>Which of the following is its simplification?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The rate of change of the function   is given by the expression   <sup>.</sup>Which of the following is its simplification?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The rate of change of the function   is given by the expression   <sup>.</sup>Which of the following is its simplification?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The rate of change of the function   is given by the expression   <sup>.</sup>Which of the following is its simplification?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The rate of change of the function   is given by the expression   <sup>.</sup>Which of the following is its simplification?  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent. <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
If <strong>If   , evaluate the following function.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , evaluate the following function. <strong>If   , evaluate the following function.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>If   , evaluate the following function.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>If   , evaluate the following function.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>If   , evaluate the following function.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>If   , evaluate the following function.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>If   , evaluate the following function.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>If   , evaluate the following function.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval <strong>Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval   .    </strong> A)   B)   C)   D)   E)solution does not exist <div style=padding-top: 35px> . <strong>Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval   .    </strong> A)   B)   C)   D)   E)solution does not exist <div style=padding-top: 35px> <strong>Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval   .    </strong> A)   B)   C)   D)   E)solution does not exist <div style=padding-top: 35px>

A) <strong>Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval   .    </strong> A)   B)   C)   D)   E)solution does not exist <div style=padding-top: 35px>
B) <strong>Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval   .    </strong> A)   B)   C)   D)   E)solution does not exist <div style=padding-top: 35px>
C) <strong>Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval   .    </strong> A)   B)   C)   D)   E)solution does not exist <div style=padding-top: 35px>
D) <strong>Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval   .    </strong> A)   B)   C)   D)   E)solution does not exist <div style=padding-top: 35px>
E)solution does not exist
سؤال
Which of the following is a solution to the given equation? <strong>Which of the following is a solution to the given equation?    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Which of the following is a solution to the given equation?    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Which of the following is a solution to the given equation?    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which of the following is a solution to the given equation?    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which of the following is a solution to the given equation?    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which of the following is a solution to the given equation?    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which of the following is a solution to the given equation?    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the following equation. <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the exact value of the given expression using a sum or difference formula. <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use the Quadratic Formula to solve the given equation on the interval <strong>Use the Quadratic Formula to solve the given equation on the interval   ; then use a graphing utility to approximate the angle x. Round answers to three decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> ; then use a graphing utility to approximate the angle x. Round answers to three decimal places. <strong>Use the Quadratic Formula to solve the given equation on the interval   ; then use a graphing utility to approximate the angle x. Round answers to three decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use the Quadratic Formula to solve the given equation on the interval   ; then use a graphing utility to approximate the angle x. Round answers to three decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the Quadratic Formula to solve the given equation on the interval   ; then use a graphing utility to approximate the angle x. Round answers to three decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the Quadratic Formula to solve the given equation on the interval   ; then use a graphing utility to approximate the angle x. Round answers to three decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the Quadratic Formula to solve the given equation on the interval   ; then use a graphing utility to approximate the angle x. Round answers to three decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the Quadratic Formula to solve the given equation on the interval   ; then use a graphing utility to approximate the angle x. Round answers to three decimal places.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Using a graphing utility, graph each side of the equation to determine whether the equation is an identity. <strong>Using a graphing utility, graph each side of the equation to determine whether the equation is an identity.  </strong> A)identity B)not an identity <div style=padding-top: 35px>

A)identity
B)not an identity
سؤال
Verify the identity shown below. Verify the identity shown below.  <div style=padding-top: 35px>
سؤال
Find all solutions of the following equation in the interval <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the following equation. <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use the cofunction identities to evaluate the expression below without the aid of a calculator. <strong>Use the cofunction identities to evaluate the expression below without the aid of a calculator.  </strong> A)1 B)2 C)-1 D)0 E)   <div style=padding-top: 35px>

A)1
B)2
C)-1
D)0
E) <strong>Use the cofunction identities to evaluate the expression below without the aid of a calculator.  </strong> A)1 B)2 C)-1 D)0 E)   <div style=padding-top: 35px>
سؤال
Find all solutions of the following equation in the interval <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Using a graphing utility, graph each side of the equation to determine whether the equation is an identity. <strong>Using a graphing utility, graph each side of the equation to determine whether the equation is an identity.  </strong> A)identity B)not an identity <div style=padding-top: 35px>

A)identity
B)not an identity
سؤال
Solve the multiple-angle equation. <strong>Solve the multiple-angle equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Solve the multiple-angle equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the multiple-angle equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the multiple-angle equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the multiple-angle equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the multiple-angle equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the multiple-angle equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the following equation. <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Solve the multiple-angle equation in the interval <strong>Solve the multiple-angle equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Solve the multiple-angle equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Solve the multiple-angle equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Solve the multiple-angle equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Solve the multiple-angle equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Solve the multiple-angle equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Solve the multiple-angle equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Solve the multiple-angle equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Verify the identity shown below. Verify the identity shown below.  <div style=padding-top: 35px>
سؤال
Verify the identity shown below. Verify the identity shown below.  <div style=padding-top: 35px>
سؤال
The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site are approximated by <strong>The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site are approximated by   where t is the time (in months), with   corresponding to January. Determine the months when sales exceed   units at any time during the month.</strong> A)July through May B)May through July C)June through August D)April through August E)April through July <div style=padding-top: 35px> where t is the time (in months), with <strong>The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site are approximated by   where t is the time (in months), with   corresponding to January. Determine the months when sales exceed   units at any time during the month.</strong> A)July through May B)May through July C)June through August D)April through August E)April through July <div style=padding-top: 35px> corresponding to January. Determine the months when sales exceed <strong>The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site are approximated by   where t is the time (in months), with   corresponding to January. Determine the months when sales exceed   units at any time during the month.</strong> A)July through May B)May through July C)June through August D)April through August E)April through July <div style=padding-top: 35px> units at any time during the month.

A)July through May
B)May through July
C)June through August
D)April through August
E)April through July
سؤال
Find the exact solutions of the given equation in the interval <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Write the given expression as an algebraic expression. <strong>Write the given expression as an algebraic expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Write the given expression as an algebraic expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Write the given expression as an algebraic expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the given expression as an algebraic expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the given expression as an algebraic expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the given expression as an algebraic expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the given expression as an algebraic expression.    </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
Find the exact value of <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant IV.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> given that <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant IV.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant IV.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . (Both u and v are in Quadrant IV.)

A) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant IV.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant IV.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant IV.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant IV.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant IV.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find all solutions of the given equation in the interval <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Simplify the given expression algebraically. <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use a double-angle formula to find the exact value of <strong>Use a double-angle formula to find the exact value of   when   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> when <strong>Use a double-angle formula to find the exact value of   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   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   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   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   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   when   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Write the given expression as the sine of an angle. <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

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

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Find the exact solutions of the given equation in the interval <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use a double-angle formula to find the exact value of <strong>Use a double-angle formula to find the exact value of   when   .</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> when <strong>Use a double-angle formula to find the exact value of   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   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   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   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   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   when   .</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
Find the exact value of <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> given that <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . (Both u and v are in Quadrant II.)

A) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the exact value of the given expression. <strong>Find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the exact value of the given expression using a sum or difference formula. <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)1 B)-1 C)   D)   E)undefined <div style=padding-top: 35px>

A)1
B)-1
C) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)1 B)-1 C)   D)   E)undefined <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)1 B)-1 C)   D)   E)undefined <div style=padding-top: 35px>
E)undefined
سؤال
Simplify the given expression algebraically. <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the exact value of <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> given that <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . (Both u and v are in Quadrant II.)

A) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Find the exact value of the given expression using a sum or difference formula. <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Write the given expression as the cosine of an angle. <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

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

A) <strong>Use the sum-to-product formulas to write the given expression as a product.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the sum-to-product formulas to write the given expression as a product.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the sum-to-product formulas to write the given expression as a product.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the sum-to-product formulas to write the given expression as a product.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the sum-to-product formulas to write the given expression as a product.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Verify the given identity. Verify the given identity.  <div style=padding-top: 35px>
سؤال
Use the power-reducing formulas to rewrite the given expression in terms of the first power of the cosine. <strong>Use the power-reducing formulas to rewrite the given expression in terms of the first power of the cosine.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Use the power-reducing formulas to rewrite the given expression in terms of the first power of the cosine.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use the power-reducing formulas to rewrite the given expression in terms of the first power of the cosine.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the power-reducing formulas to rewrite the given expression in terms of the first power of the cosine.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the power-reducing formulas to rewrite the given expression in terms of the first power of the cosine.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the power-reducing formulas to rewrite the given expression in terms of the first power of the cosine.    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the power-reducing formulas to rewrite the given expression in terms of the first power of the cosine.    </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 all solutions of the given equation in the interval <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all solutions of the given equation in the interval   .    </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.     68(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.     68(figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> 68(figure not necessarily to scale)

A) <strong>Use the figure below to find the exact value of the given trigonometric expression.     68(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.     68(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.     68(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.     68(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.     68(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
Verify the given identity. Verify the given identity.  <div style=padding-top: 35px>
سؤال
Find all solutions of the given equation in the interval <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find all solutions of the given equation in the interval   .    </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)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>Use the half-angle formula to simplify the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Use the half-angle formula to simplify the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Use the half-angle formula to simplify the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Use the half-angle formula to simplify the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Use the half-angle formula to simplify the given expression.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
The range of a projectile fired at an angle <strong>The range of a projectile fired at an angle   with the horizontal and with an initial velocity of   feet per second is   where r is measured in feet. A golfer strikes a golfball at 80 feet per second. Ignoring the effects of air resistence, at what angle must the golfer hit the ball so that it travels 110 feet? (Round answer to nearest angle.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> with the horizontal and with an initial velocity of <strong>The range of a projectile fired at an angle   with the horizontal and with an initial velocity of   feet per second is   where r is measured in feet. A golfer strikes a golfball at 80 feet per second. Ignoring the effects of air resistence, at what angle must the golfer hit the ball so that it travels 110 feet? (Round answer to nearest angle.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> feet per second is <strong>The range of a projectile fired at an angle   with the horizontal and with an initial velocity of   feet per second is   where r is measured in feet. A golfer strikes a golfball at 80 feet per second. Ignoring the effects of air resistence, at what angle must the golfer hit the ball so that it travels 110 feet? (Round answer to nearest angle.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> where r is measured in feet. A golfer strikes a golfball at 80 feet per second. Ignoring the effects of air resistence, at what angle must the golfer hit the ball so that it travels 110 feet? (Round answer to nearest angle.)

A) <strong>The range of a projectile fired at an angle   with the horizontal and with an initial velocity of   feet per second is   where r is measured in feet. A golfer strikes a golfball at 80 feet per second. Ignoring the effects of air resistence, at what angle must the golfer hit the ball so that it travels 110 feet? (Round answer to nearest angle.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The range of a projectile fired at an angle   with the horizontal and with an initial velocity of   feet per second is   where r is measured in feet. A golfer strikes a golfball at 80 feet per second. Ignoring the effects of air resistence, at what angle must the golfer hit the ball so that it travels 110 feet? (Round answer to nearest angle.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The range of a projectile fired at an angle   with the horizontal and with an initial velocity of   feet per second is   where r is measured in feet. A golfer strikes a golfball at 80 feet per second. Ignoring the effects of air resistence, at what angle must the golfer hit the ball so that it travels 110 feet? (Round answer to nearest angle.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The range of a projectile fired at an angle   with the horizontal and with an initial velocity of   feet per second is   where r is measured in feet. A golfer strikes a golfball at 80 feet per second. Ignoring the effects of air resistence, at what angle must the golfer hit the ball so that it travels 110 feet? (Round answer to nearest angle.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The range of a projectile fired at an angle   with the horizontal and with an initial velocity of   feet per second is   where r is measured in feet. A golfer strikes a golfball at 80 feet per second. Ignoring the effects of air resistence, at what angle must the golfer hit the ball so that it travels 110 feet? (Round answer to nearest angle.)</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Deck 11: Analytic Trigonometry
1
If <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   , use trigonometric substitution to write <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   as a trigonometric function of <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   , where <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   .

A) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)
B) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)
C) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)
D) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)
E) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)
2
Which of the following is not an identity? <strong>Which of the following is not an identity?  </strong> A)   B)   C)   D)   E)

A) <strong>Which of the following is not an identity?  </strong> A)   B)   C)   D)   E)
B) <strong>Which of the following is not an identity?  </strong> A)   B)   C)   D)   E)
C) <strong>Which of the following is not an identity?  </strong> A)   B)   C)   D)   E)
D) <strong>Which of the following is not an identity?  </strong> A)   B)   C)   D)   E)
E) <strong>Which of the following is not an identity?  </strong> A)   B)   C)   D)   E)
3
Verify the identity shown below. Verify the identity shown below.
4
Verify the identity shown below. Verify the identity shown below.
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5
Verify the identity shown below. Verify the identity shown below.
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6
Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent. <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)

A) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
B) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
C) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
D) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
E) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
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7
If <strong>If   , evaluate the function below.    </strong> A)   B)   C)   D)   E)   , evaluate the function below. <strong>If   , evaluate the function below.    </strong> A)   B)   C)   D)   E)   <strong>If   , evaluate the function below.    </strong> A)   B)   C)   D)   E)

A) <strong>If   , evaluate the function below.    </strong> A)   B)   C)   D)   E)
B) <strong>If   , evaluate the function below.    </strong> A)   B)   C)   D)   E)
C) <strong>If   , evaluate the function below.    </strong> A)   B)   C)   D)   E)
D) <strong>If   , evaluate the function below.    </strong> A)   B)   C)   D)   E)
E) <strong>If   , evaluate the function below.    </strong> A)   B)   C)   D)   E)
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8
Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)

A) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
B) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
C) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
D) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
E) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
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9
Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. <strong>Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <strong>Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)

A) <strong>Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
B) <strong>Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
C) <strong>Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
D) <strong>Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
E) <strong>Add or subtract as indicated; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
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10
Rewrite <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)   as a single logarithm and then simplify the result.

A) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
B) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
C) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
D) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
E) <strong>Rewrite   as a single logarithm and then simplify the result.</strong> A)   B)   C)   D)   E)
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11
Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)

A) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
B) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
C) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
D) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
E) <strong>Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
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12
Which of the following is equivalent to the expression below? <strong>Which of the following is equivalent to the expression below?    </strong> A)   B)   C)   D)   E)   <strong>Which of the following is equivalent to the expression below?    </strong> A)   B)   C)   D)   E)

A) <strong>Which of the following is equivalent to the expression below?    </strong> A)   B)   C)   D)   E)
B) <strong>Which of the following is equivalent to the expression below?    </strong> A)   B)   C)   D)   E)
C) <strong>Which of the following is equivalent to the expression below?    </strong> A)   B)   C)   D)   E)
D) <strong>Which of the following is equivalent to the expression below?    </strong> A)   B)   C)   D)   E)
E) <strong>Which of the following is equivalent to the expression below?    </strong> A)   B)   C)   D)   E)
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13
Verify the identity shown below. Verify the identity shown below.
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14
Use a graphing utility to determine which of the trigonometric functions is equal to the following expression. <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.    </strong> A)   B)   C)   D)   E)   <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.    </strong> A)   B)   C)   D)   E)

A) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.    </strong> A)   B)   C)   D)   E)
B) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.    </strong> A)   B)   C)   D)   E)
C) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.    </strong> A)   B)   C)   D)   E)
D) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.    </strong> A)   B)   C)   D)   E)
E) <strong>Use a graphing utility to determine which of the trigonometric functions is equal to the following expression.    </strong> A)   B)   C)   D)   E)
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15
If <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   , use trigonometric substitution to write <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   as a trigonometric function of <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   , where <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)   .

A) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)
B) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)
C) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)
D) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)
E) <strong>If   , use trigonometric substitution to write   as a trigonometric function of   , where   .</strong> A)   B)   C)   D)   E)
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16
Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent. <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)

A) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
B) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
C) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
D) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
E) <strong>Multiply; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
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17
Verify the identity shown below. Verify the identity shown below.
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18
The rate of change of the function <strong>The rate of change of the function   is given by the expression   <sup>.</sup>Which of the following is its simplification?  </strong> A)   B)   C)   D)   E)   is given by the expression <strong>The rate of change of the function   is given by the expression   <sup>.</sup>Which of the following is its simplification?  </strong> A)   B)   C)   D)   E)   .Which of the following is its simplification? <strong>The rate of change of the function   is given by the expression   <sup>.</sup>Which of the following is its simplification?  </strong> A)   B)   C)   D)   E)

A) <strong>The rate of change of the function   is given by the expression   <sup>.</sup>Which of the following is its simplification?  </strong> A)   B)   C)   D)   E)
B) <strong>The rate of change of the function   is given by the expression   <sup>.</sup>Which of the following is its simplification?  </strong> A)   B)   C)   D)   E)
C) <strong>The rate of change of the function   is given by the expression   <sup>.</sup>Which of the following is its simplification?  </strong> A)   B)   C)   D)   E)
D) <strong>The rate of change of the function   is given by the expression   <sup>.</sup>Which of the following is its simplification?  </strong> A)   B)   C)   D)   E)
E) <strong>The rate of change of the function   is given by the expression   <sup>.</sup>Which of the following is its simplification?  </strong> A)   B)   C)   D)   E)
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19
Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent. <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)   <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)

A) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
B) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
C) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
D) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
E) <strong>Use fundamental identities to simplify the expression below and then determine which of the following is not equivalent.    </strong> A)   B)   C)   D)   E)
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20
If <strong>If   , evaluate the following function.    </strong> A)   B)   C)   D)   E)   , evaluate the following function. <strong>If   , evaluate the following function.    </strong> A)   B)   C)   D)   E)   <strong>If   , evaluate the following function.    </strong> A)   B)   C)   D)   E)

A) <strong>If   , evaluate the following function.    </strong> A)   B)   C)   D)   E)
B) <strong>If   , evaluate the following function.    </strong> A)   B)   C)   D)   E)
C) <strong>If   , evaluate the following function.    </strong> A)   B)   C)   D)   E)
D) <strong>If   , evaluate the following function.    </strong> A)   B)   C)   D)   E)
E) <strong>If   , evaluate the following function.    </strong> A)   B)   C)   D)   E)
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21
Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval <strong>Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval   .    </strong> A)   B)   C)   D)   E)solution does not exist . <strong>Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval   .    </strong> A)   B)   C)   D)   E)solution does not exist <strong>Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval   .    </strong> A)   B)   C)   D)   E)solution does not exist

A) <strong>Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval   .    </strong> A)   B)   C)   D)   E)solution does not exist
B) <strong>Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval   .    </strong> A)   B)   C)   D)   E)solution does not exist
C) <strong>Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval   .    </strong> A)   B)   C)   D)   E)solution does not exist
D) <strong>Use inverse functions where needed to find all solutions (if they exist) of the given equation on the interval   .    </strong> A)   B)   C)   D)   E)solution does not exist
E)solution does not exist
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22
Which of the following is a solution to the given equation? <strong>Which of the following is a solution to the given equation?    </strong> A)   B)   C)   D)   E)   <strong>Which of the following is a solution to the given equation?    </strong> A)   B)   C)   D)   E)

A) <strong>Which of the following is a solution to the given equation?    </strong> A)   B)   C)   D)   E)
B) <strong>Which of the following is a solution to the given equation?    </strong> A)   B)   C)   D)   E)
C) <strong>Which of the following is a solution to the given equation?    </strong> A)   B)   C)   D)   E)
D) <strong>Which of the following is a solution to the given equation?    </strong> A)   B)   C)   D)   E)
E) <strong>Which of the following is a solution to the given equation?    </strong> A)   B)   C)   D)   E)
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23
Solve the following equation. <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)

A) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)
B) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)
C) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)
D) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)
E) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)
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24
Find the exact value of the given expression using a sum or difference formula. <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)

A) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
B) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
C) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
D) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
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25
Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   . <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)

A) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
B) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
C) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
D) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
E) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
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26
Use the Quadratic Formula to solve the given equation on the interval <strong>Use the Quadratic Formula to solve the given equation on the interval   ; then use a graphing utility to approximate the angle x. Round answers to three decimal places.  </strong> A)   B)   C)   D)   E)   ; then use a graphing utility to approximate the angle x. Round answers to three decimal places. <strong>Use the Quadratic Formula to solve the given equation on the interval   ; then use a graphing utility to approximate the angle x. Round answers to three decimal places.  </strong> A)   B)   C)   D)   E)

A) <strong>Use the Quadratic Formula to solve the given equation on the interval   ; then use a graphing utility to approximate the angle x. Round answers to three decimal places.  </strong> A)   B)   C)   D)   E)
B) <strong>Use the Quadratic Formula to solve the given equation on the interval   ; then use a graphing utility to approximate the angle x. Round answers to three decimal places.  </strong> A)   B)   C)   D)   E)
C) <strong>Use the Quadratic Formula to solve the given equation on the interval   ; then use a graphing utility to approximate the angle x. Round answers to three decimal places.  </strong> A)   B)   C)   D)   E)
D) <strong>Use the Quadratic Formula to solve the given equation on the interval   ; then use a graphing utility to approximate the angle x. Round answers to three decimal places.  </strong> A)   B)   C)   D)   E)
E) <strong>Use the Quadratic Formula to solve the given equation on the interval   ; then use a graphing utility to approximate the angle x. Round answers to three decimal places.  </strong> A)   B)   C)   D)   E)
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27
Using a graphing utility, graph each side of the equation to determine whether the equation is an identity. <strong>Using a graphing utility, graph each side of the equation to determine whether the equation is an identity.  </strong> A)identity B)not an identity

A)identity
B)not an identity
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28
Verify the identity shown below. Verify the identity shown below.
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29
Find all solutions of the following equation in the interval <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   . <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)

A) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)
B) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)
C) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)
D) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)
E) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)
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30
Solve the following equation. <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)

A) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)
B) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)
C) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)
D) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)
E) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)
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31
Use the cofunction identities to evaluate the expression below without the aid of a calculator. <strong>Use the cofunction identities to evaluate the expression below without the aid of a calculator.  </strong> A)1 B)2 C)-1 D)0 E)

A)1
B)2
C)-1
D)0
E) <strong>Use the cofunction identities to evaluate the expression below without the aid of a calculator.  </strong> A)1 B)2 C)-1 D)0 E)
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32
Find all solutions of the following equation in the interval <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   . <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)   <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)

A) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)
B) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)
C) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)
D) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)
E) <strong>Find all solutions of the following equation in the interval   .    </strong> A)   B)   C)   D)   E)
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33
Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)   . <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)

A) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
B) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
C) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
D) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
E) <strong>Use a graphing utility to approximate the solutions (to three decimal places) of the given equation in the interval   .  </strong> A)   B)   C)   D)   E)
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34
Using a graphing utility, graph each side of the equation to determine whether the equation is an identity. <strong>Using a graphing utility, graph each side of the equation to determine whether the equation is an identity.  </strong> A)identity B)not an identity

A)identity
B)not an identity
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35
Solve the multiple-angle equation. <strong>Solve the multiple-angle equation.    </strong> A)   B)   C)   D)   E)   <strong>Solve the multiple-angle equation.    </strong> A)   B)   C)   D)   E)

A) <strong>Solve the multiple-angle equation.    </strong> A)   B)   C)   D)   E)
B) <strong>Solve the multiple-angle equation.    </strong> A)   B)   C)   D)   E)
C) <strong>Solve the multiple-angle equation.    </strong> A)   B)   C)   D)   E)
D) <strong>Solve the multiple-angle equation.    </strong> A)   B)   C)   D)   E)
E) <strong>Solve the multiple-angle equation.    </strong> A)   B)   C)   D)   E)
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36
Solve the following equation. <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)   <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)

A) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)
B) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)
C) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)
D) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)
E) <strong>Solve the following equation.    </strong> A)   B)   C)   D)   E)
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37
Solve the multiple-angle equation in the interval <strong>Solve the multiple-angle equation in the interval   .    </strong> A)   B)   C)   D)   E)   . <strong>Solve the multiple-angle equation in the interval   .    </strong> A)   B)   C)   D)   E)   <strong>Solve the multiple-angle equation in the interval   .    </strong> A)   B)   C)   D)   E)

A) <strong>Solve the multiple-angle equation in the interval   .    </strong> A)   B)   C)   D)   E)
B) <strong>Solve the multiple-angle equation in the interval   .    </strong> A)   B)   C)   D)   E)
C) <strong>Solve the multiple-angle equation in the interval   .    </strong> A)   B)   C)   D)   E)
D) <strong>Solve the multiple-angle equation in the interval   .    </strong> A)   B)   C)   D)   E)
E) <strong>Solve the multiple-angle equation in the interval   .    </strong> A)   B)   C)   D)   E)
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38
Verify the identity shown below. Verify the identity shown below.
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39
Verify the identity shown below. Verify the identity shown below.
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40
The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site are approximated by <strong>The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site are approximated by   where t is the time (in months), with   corresponding to January. Determine the months when sales exceed   units at any time during the month.</strong> A)July through May B)May through July C)June through August D)April through August E)April through July where t is the time (in months), with <strong>The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site are approximated by   where t is the time (in months), with   corresponding to January. Determine the months when sales exceed   units at any time during the month.</strong> A)July through May B)May through July C)June through August D)April through August E)April through July corresponding to January. Determine the months when sales exceed <strong>The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site are approximated by   where t is the time (in months), with   corresponding to January. Determine the months when sales exceed   units at any time during the month.</strong> A)July through May B)May through July C)June through August D)April through August E)April through July units at any time during the month.

A)July through May
B)May through July
C)June through August
D)April through August
E)April through July
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41
Find the exact solutions of the given equation in the interval <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   . <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)

A) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
B) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
C) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
D) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
E) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
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42
Write the given expression as an algebraic expression. <strong>Write the given expression as an algebraic expression.    </strong> A)   B)   C)   D)   E)   <strong>Write the given expression as an algebraic expression.    </strong> A)   B)   C)   D)   E)

A) <strong>Write the given expression as an algebraic expression.    </strong> A)   B)   C)   D)   E)
B) <strong>Write the given expression as an algebraic expression.    </strong> A)   B)   C)   D)   E)
C) <strong>Write the given expression as an algebraic expression.    </strong> A)   B)   C)   D)   E)
D) <strong>Write the given expression as an algebraic expression.    </strong> A)   B)   C)   D)   E)
E) <strong>Write the given expression as an algebraic expression.    </strong> A)   B)   C)   D)   E)
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43
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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44
Find the exact value of <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant IV.)</strong> A)   B)   C)   D)   E)   given that <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant IV.)</strong> A)   B)   C)   D)   E)   and <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant IV.)</strong> A)   B)   C)   D)   E)   . (Both u and v are in Quadrant IV.)

A) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant IV.)</strong> A)   B)   C)   D)   E)
B) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant IV.)</strong> A)   B)   C)   D)   E)
C) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant IV.)</strong> A)   B)   C)   D)   E)
D) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant IV.)</strong> A)   B)   C)   D)   E)
E) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant IV.)</strong> A)   B)   C)   D)   E)
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45
Find all solutions of the given equation in the interval <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   . <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)

A) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
B) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
C) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
D) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
E) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
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46
Simplify the given expression algebraically. <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)   <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)

A) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)
B) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)
C) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)
D) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)
E) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)
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47
Use a double-angle formula to find the exact value of <strong>Use a double-angle formula to find the exact value of   when   .</strong> A)   B)   C)   D)   E)   when <strong>Use a double-angle formula to find the exact value of   when   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Use a double-angle formula to find the exact value of   when   .</strong> A)   B)   C)   D)   E)
B) <strong>Use a double-angle formula to find the exact value of   when   .</strong> A)   B)   C)   D)   E)
C) <strong>Use a double-angle formula to find the exact value of   when   .</strong> A)   B)   C)   D)   E)
D) <strong>Use a double-angle formula to find the exact value of   when   .</strong> A)   B)   C)   D)   E)
E) <strong>Use a double-angle formula to find the exact value of   when   .</strong> A)   B)   C)   D)   E)
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48
Write the given expression as the sine of an angle. <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)

A) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
B) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
C) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
D) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
E) <strong>Write the given expression as the sine of an angle.  </strong> A)   B)   C)   D)   E)
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49
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
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50
Find the exact value of the given expression. <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)

A) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
B) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
C) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
D) <strong>Find the exact value of the given expression.  </strong> A)   B)   C)   D)
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51
Find the exact solutions of the given equation in the interval <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   . <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)

A) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
B) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
C) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
D) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
E) <strong>Find the exact solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
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52
Use a double-angle formula to find the exact value of <strong>Use a double-angle formula to find the exact value of   when   .</strong> A)   B)   C)   D)   E)   when <strong>Use a double-angle formula to find the exact value of   when   .</strong> A)   B)   C)   D)   E)   .

A) <strong>Use a double-angle formula to find the exact value of   when   .</strong> A)   B)   C)   D)   E)
B) <strong>Use a double-angle formula to find the exact value of   when   .</strong> A)   B)   C)   D)   E)
C) <strong>Use a double-angle formula to find the exact value of   when   .</strong> A)   B)   C)   D)   E)
D) <strong>Use a double-angle formula to find the exact value of   when   .</strong> A)   B)   C)   D)   E)
E) <strong>Use a double-angle formula to find the exact value of   when   .</strong> A)   B)   C)   D)   E)
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53
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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54
Find the exact value of <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   given that <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   and <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   . (Both u and v are in Quadrant II.)

A) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
B) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
C) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
D) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
E) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
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55
Find the exact value of the given expression. <strong>Find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)   <strong>Find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)

A) <strong>Find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)
B) <strong>Find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)
C) <strong>Find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)
D) <strong>Find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)
E) <strong>Find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)
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56
Find the exact value of the given expression using a sum or difference formula. <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)1 B)-1 C)   D)   E)undefined

A)1
B)-1
C) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)1 B)-1 C)   D)   E)undefined
D) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)1 B)-1 C)   D)   E)undefined
E)undefined
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57
Simplify the given expression algebraically. <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)   <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)

A) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)
B) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)
C) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)
D) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)
E) <strong>Simplify the given expression algebraically.    </strong> A)   B)   C)   D)   E)
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58
Find the exact value of <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   given that <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   and <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)   . (Both u and v are in Quadrant II.)

A) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
B) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
C) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
D) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
E) <strong>Find the exact value of   given that   and   . (Both u and v are in Quadrant II.)</strong> A)   B)   C)   D)   E)
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59
Find the exact value of the given expression using a sum or difference formula. <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)

A) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
B) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
C) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
D) <strong>Find the exact value of the given expression using a sum or difference formula.  </strong> A)   B)   C)   D)
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60
Write the given expression as the cosine of an angle. <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)

A) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
B) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
C) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
D) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
E) <strong>Write the given expression as the cosine of an angle.  </strong> A)   B)   C)   D)   E)
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61
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)   C)   D)   E)   <strong>Use the sum-to-product formulas to find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)

A) <strong>Use the sum-to-product formulas to find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)
B) <strong>Use the sum-to-product formulas to find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)
C) <strong>Use the sum-to-product formulas to find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)
D) <strong>Use the sum-to-product formulas to find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)
E) <strong>Use the sum-to-product formulas to find the exact value of the given expression.    </strong> A)   B)   C)   D)   E)
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62
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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63
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)   B)   C)   D)   E)

A) <strong>Use the sum-to-product formulas to write the given expression as a product.  </strong> A)   B)   C)   D)   E)
B) <strong>Use the sum-to-product formulas to write the given expression as a product.  </strong> A)   B)   C)   D)   E)
C) <strong>Use the sum-to-product formulas to write the given expression as a product.  </strong> A)   B)   C)   D)   E)
D) <strong>Use the sum-to-product formulas to write the given expression as a product.  </strong> A)   B)   C)   D)   E)
E) <strong>Use the sum-to-product formulas to write the given expression as a product.  </strong> A)   B)   C)   D)   E)
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64
Verify the given identity. Verify the given identity.
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65
Use the power-reducing formulas to rewrite the given expression in terms of the first power of the cosine. <strong>Use the power-reducing formulas to rewrite the given expression in terms of the first power of the cosine.    </strong> A)   B)   C)   D)   E)   <strong>Use the power-reducing formulas to rewrite the given expression in terms of the first power of the cosine.    </strong> A)   B)   C)   D)   E)

A) <strong>Use the power-reducing formulas to rewrite the given expression in terms of the first power of the cosine.    </strong> A)   B)   C)   D)   E)
B) <strong>Use the power-reducing formulas to rewrite the given expression in terms of the first power of the cosine.    </strong> A)   B)   C)   D)   E)
C) <strong>Use the power-reducing formulas to rewrite the given expression in terms of the first power of the cosine.    </strong> A)   B)   C)   D)   E)
D) <strong>Use the power-reducing formulas to rewrite the given expression in terms of the first power of the cosine.    </strong> A)   B)   C)   D)   E)
E) <strong>Use the power-reducing formulas to rewrite the given expression in terms of the first power of the cosine.    </strong> A)   B)   C)   D)   E)
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66
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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67
Find all solutions of the given equation in the interval <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   . <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)

A) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
B) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
C) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
D) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
E) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
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68
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.     68(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.     68(figure not necessarily to scale)</strong> A)   B)   C)   D)   E)   68(figure not necessarily to scale)

A) <strong>Use the figure below to find the exact value of the given trigonometric expression.     68(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.     68(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.     68(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.     68(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.     68(figure not necessarily to scale)</strong> A)   B)   C)   D)   E)
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69
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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70
Verify the given identity. Verify the given identity.
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71
Find all solutions of the given equation in the interval <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   . <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)   <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)

A) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
B) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
C) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
D) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
E) <strong>Find all solutions of the given equation in the interval   .    </strong> A)   B)   C)   D)   E)
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72
Use the half-angle formula to simplify the given expression. <strong>Use the half-angle formula to simplify the given expression.  </strong> A)   B)   C)   D)   E)

A) <strong>Use the half-angle formula to simplify the given expression.  </strong> A)   B)   C)   D)   E)
B) <strong>Use the half-angle formula to simplify the given expression.  </strong> A)   B)   C)   D)   E)
C) <strong>Use the half-angle formula to simplify the given expression.  </strong> A)   B)   C)   D)   E)
D) <strong>Use the half-angle formula to simplify the given expression.  </strong> A)   B)   C)   D)   E)
E) <strong>Use the half-angle formula to simplify the given expression.  </strong> A)   B)   C)   D)   E)
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73
The range of a projectile fired at an angle <strong>The range of a projectile fired at an angle   with the horizontal and with an initial velocity of   feet per second is   where r is measured in feet. A golfer strikes a golfball at 80 feet per second. Ignoring the effects of air resistence, at what angle must the golfer hit the ball so that it travels 110 feet? (Round answer to nearest angle.)</strong> A)   B)   C)   D)   E)   with the horizontal and with an initial velocity of <strong>The range of a projectile fired at an angle   with the horizontal and with an initial velocity of   feet per second is   where r is measured in feet. A golfer strikes a golfball at 80 feet per second. Ignoring the effects of air resistence, at what angle must the golfer hit the ball so that it travels 110 feet? (Round answer to nearest angle.)</strong> A)   B)   C)   D)   E)   feet per second is <strong>The range of a projectile fired at an angle   with the horizontal and with an initial velocity of   feet per second is   where r is measured in feet. A golfer strikes a golfball at 80 feet per second. Ignoring the effects of air resistence, at what angle must the golfer hit the ball so that it travels 110 feet? (Round answer to nearest angle.)</strong> A)   B)   C)   D)   E)   where r is measured in feet. A golfer strikes a golfball at 80 feet per second. Ignoring the effects of air resistence, at what angle must the golfer hit the ball so that it travels 110 feet? (Round answer to nearest angle.)

A) <strong>The range of a projectile fired at an angle   with the horizontal and with an initial velocity of   feet per second is   where r is measured in feet. A golfer strikes a golfball at 80 feet per second. Ignoring the effects of air resistence, at what angle must the golfer hit the ball so that it travels 110 feet? (Round answer to nearest angle.)</strong> A)   B)   C)   D)   E)
B) <strong>The range of a projectile fired at an angle   with the horizontal and with an initial velocity of   feet per second is   where r is measured in feet. A golfer strikes a golfball at 80 feet per second. Ignoring the effects of air resistence, at what angle must the golfer hit the ball so that it travels 110 feet? (Round answer to nearest angle.)</strong> A)   B)   C)   D)   E)
C) <strong>The range of a projectile fired at an angle   with the horizontal and with an initial velocity of   feet per second is   where r is measured in feet. A golfer strikes a golfball at 80 feet per second. Ignoring the effects of air resistence, at what angle must the golfer hit the ball so that it travels 110 feet? (Round answer to nearest angle.)</strong> A)   B)   C)   D)   E)
D) <strong>The range of a projectile fired at an angle   with the horizontal and with an initial velocity of   feet per second is   where r is measured in feet. A golfer strikes a golfball at 80 feet per second. Ignoring the effects of air resistence, at what angle must the golfer hit the ball so that it travels 110 feet? (Round answer to nearest angle.)</strong> A)   B)   C)   D)   E)
E) <strong>The range of a projectile fired at an angle   with the horizontal and with an initial velocity of   feet per second is   where r is measured in feet. A golfer strikes a golfball at 80 feet per second. Ignoring the effects of air resistence, at what angle must the golfer hit the ball so that it travels 110 feet? (Round answer to nearest angle.)</strong> A)   B)   C)   D)   E)
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