Deck 2: Right Triangle Trigonometry

ملء الشاشة (f)
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سؤال
For expression <strong>For expression   , replace z with 90°, and then simplify as much as possible. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> , replace z with 90°, and then simplify as much as possible. ​

A) <strong>For expression   , replace z with 90°, and then simplify as much as possible. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>For expression   , replace z with 90°, and then simplify as much as possible. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>For expression   , replace z with 90°, and then simplify as much as possible. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>For expression   , replace z with 90°, and then simplify as much as possible. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>For expression   , replace z with 90°, and then simplify as much as possible. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
استخدم زر المسافة أو
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لقلب البطاقة.
سؤال
Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement. <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____ ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> _____ ​

A) <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____ ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____ ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____ ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____ ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____ ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Find cos A in the right triangle below. <strong>Find cos A in the right triangle below.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>Find cos A in the right triangle below.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Find cos A in the right triangle below.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Find cos A in the right triangle below.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Find cos A in the right triangle below.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Find cos A in the right triangle below.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Find the exact value of <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . ​

A) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression. <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.     ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.     ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.     ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.     ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.     ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.     ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.     ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
In the diagram below, angle A is in standard position. Find sin A . ​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​     <div style=padding-top: 35px>

A) <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​     <div style=padding-top: 35px>
B)​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​     <div style=padding-top: 35px>
C)​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​     <div style=padding-top: 35px>
D)​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​     <div style=padding-top: 35px>
E)​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​     <div style=padding-top: 35px> <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​     <div style=padding-top: 35px>
سؤال
Find the exact value for csc 60°. ​

A) <strong>Find the exact value for csc 60°. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Find the exact value for csc 60°. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Find the exact value for csc 60°. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Find the exact value for csc 60°. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Find the exact value for csc 60°. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Find the exact value of <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . ​

A) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
In the diagram below, angle A is in standard position. Find sin A . ​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Which of the following tables has been completed correctly using exact values? ​

A) <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement. <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____° ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> _____° ​

A) <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____° ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____° ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____° ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____° ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____° ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Right triangle ABC  has <strong>Right triangle ABC  has   ,   , and   . Use this information to find cos A ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> , <strong>Right triangle ABC  has   ,   , and   . Use this information to find cos A ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> , and <strong>Right triangle ABC  has   ,   , and   . Use this information to find cos A ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . Use this information to find cos A ​

A) <strong>Right triangle ABC  has   ,   , and   . Use this information to find cos A ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Right triangle ABC  has   ,   , and   . Use this information to find cos A ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Right triangle ABC  has   ,   , and   . Use this information to find cos A ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Right triangle ABC  has   ,   , and   . Use this information to find cos A ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Right triangle ABC  has   ,   , and   . Use this information to find cos A ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
For the expression that follows, replace x with 30°, and then simplify as much as possible. <strong>For the expression that follows, replace x with 30°, and then simplify as much as possible.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>For the expression that follows, replace x with 30°, and then simplify as much as possible.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>For the expression that follows, replace x with 30°, and then simplify as much as possible.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>For the expression that follows, replace x with 30°, and then simplify as much as possible.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>For the expression that follows, replace x with 30°, and then simplify as much as possible.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>For the expression that follows, replace x with 30°, and then simplify as much as possible.   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Right triangle ABC  has <strong>Right triangle ABC  has   ,   , and   . Use this information to find sin A . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> , <strong>Right triangle ABC  has   ,   , and   . Use this information to find sin A . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> , and <strong>Right triangle ABC  has   ,   , and   . Use this information to find sin A . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . Use this information to find sin A . ​

A) <strong>Right triangle ABC  has   ,   , and   . Use this information to find sin A . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Right triangle ABC  has   ,   , and   . Use this information to find sin A . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Right triangle ABC  has   ,   , and   . Use this information to find sin A . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Right triangle ABC  has   ,   , and   . Use this information to find sin A . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Right triangle ABC  has   ,   , and   . Use this information to find sin A . ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Find tan B in the right triangle below <strong>Find tan B in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . <strong>Find tan B in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>Find tan B in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Find tan B in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Find tan B in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Find tan B in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Find tan B in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Find the exact value of sec 45°. ​

A)​ <strong>Find the exact value of sec 45°. ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
B)​ <strong>Find the exact value of sec 45°. ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
C)​ <strong>Find the exact value of sec 45°. ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
D)​ <strong>Find the exact value of sec 45°. ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
E) <strong>Find the exact value of sec 45°. ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
سؤال
Find tan A in the right triangle below <strong>Find tan A in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . <strong>Find tan A in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>Find tan A in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Find tan A in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Find tan A in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Find tan A in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Find tan A in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression. <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.    </strong> A)   B)   C)1 D)0 E)   <div style=padding-top: 35px> <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.    </strong> A)   B)   C)1 D)0 E)   <div style=padding-top: 35px>

A) <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.    </strong> A)   B)   C)1 D)0 E)   <div style=padding-top: 35px>
B) <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.    </strong> A)   B)   C)1 D)0 E)   <div style=padding-top: 35px>
C)1
D)0
E) <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.    </strong> A)   B)   C)1 D)0 E)   <div style=padding-top: 35px>
سؤال
There is a right triangle ABC with <strong>There is a right triangle ABC with   ,   , and    Use a calculator to find cos A . Round your answer to the nearest hundredth. ​</strong> A)0.87 B)0.86 C)0.48 D)0.49 E)0.85 <div style=padding-top: 35px> , <strong>There is a right triangle ABC with   ,   , and    Use a calculator to find cos A . Round your answer to the nearest hundredth. ​</strong> A)0.87 B)0.86 C)0.48 D)0.49 E)0.85 <div style=padding-top: 35px> , and <strong>There is a right triangle ABC with   ,   , and    Use a calculator to find cos A . Round your answer to the nearest hundredth. ​</strong> A)0.87 B)0.86 C)0.48 D)0.49 E)0.85 <div style=padding-top: 35px>  Use a calculator to find cos A . Round your answer to the nearest hundredth. ​

A)0.87
B)0.86
C)0.48
D)0.49
E)0.85
سؤال
Which of the following tables has been completed correctly using exact values? ​

A) <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)​   C)   D)   E)   <div style=padding-top: 35px>
B)​ <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)​   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)​   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)​   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)​   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement. Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____°<div style=padding-top: 35px> _____°
سؤال
Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression. Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.    <div style=padding-top: 35px> Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.    <div style=padding-top: 35px>
سؤال
Add. (34°41')+  (23 °22 ' ) ​

A)23°03'
B)59°23'
C)59°03'
D)58°23'
E)58°03'
سؤال
Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement. Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____<div style=padding-top: 35px> _____
سؤال
Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression. Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.    <div style=padding-top: 35px> Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.    <div style=padding-top: 35px>
سؤال
There is a right triangle ABC with There is a right triangle ABC with   ,   , and   . Use a calculator to find sin A , cos A , sin B , and cos  B . Round your answers to the nearest hundredth. sin A = __________ cos A = __________ sin B = __________ cos B = __________<div style=padding-top: 35px> , There is a right triangle ABC with   ,   , and   . Use a calculator to find sin A , cos A , sin B , and cos  B . Round your answers to the nearest hundredth. sin A = __________ cos A = __________ sin B = __________ cos B = __________<div style=padding-top: 35px> , and There is a right triangle ABC with   ,   , and   . Use a calculator to find sin A , cos A , sin B , and cos  B . Round your answers to the nearest hundredth. sin A = __________ cos A = __________ sin B = __________ cos B = __________<div style=padding-top: 35px> . Use a calculator to find sin A , cos A , sin B , and cos  B . Round your answers to the nearest hundredth.
sin A = __________
cos A = __________
sin B = __________
cos B = __________
سؤال
Suppose each edge of the cube shown in the figure is 3 inches long. Find the sine and cosine of the angle formed by diagonals GB and 0 GD . <strong>Suppose each edge of the cube shown in the figure is 3 inches long. Find the sine and cosine of the angle formed by diagonals GB and 0 GD .   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Suppose each edge of the cube shown in the figure is 3 inches long. Find the sine and cosine of the angle formed by diagonals GB and 0 GD .   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Suppose each edge of the cube shown in the figure is 3 inches long. Find the sine and cosine of the angle formed by diagonals GB and 0 GD .   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Suppose each edge of the cube shown in the figure is 3 inches long. Find the sine and cosine of the angle formed by diagonals GB and 0 GD .   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Suppose each edge of the cube shown in the figure is 3 inches long. Find the sine and cosine of the angle formed by diagonals GB and 0 GD .   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Suppose each edge of the cube shown in the figure is 3 inches long. Find the sine and cosine of the angle formed by diagonals GB and 0 GD .   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Find the exact value of cot 60°.
سؤال
For the expression For the expression   , replace z with   , and then simplify as much as possible.<div style=padding-top: 35px> , replace z with For the expression   , replace z with   , and then simplify as much as possible.<div style=padding-top: 35px> , and then simplify as much as possible.
سؤال
Find the exact value for csc 60°.
سؤال
Convert the following to degrees and minutes. Round to the nearest minute. 91.15° ​

A)91°15'
B)91°14'
C)91°10'
D)91°9'
E)91°6'
سؤال
Subtract. (83°36')- (72°66') ​

A)10°30'
B)31°10'
C)10°31'
D)11°31'
E)30°10'
سؤال
Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression. Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.    <div style=padding-top: 35px> Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.    <div style=padding-top: 35px>
سؤال
For the expression that follows, replace x with 30°, and then simplify as much as possible. For the expression that follows, replace x with 30°, and then simplify as much as possible.  <div style=padding-top: 35px>
سؤال
Find the exact value of sec 30°.
سؤال
Change the following to decimal degrees. 45°33' ​

A)46.65°
B)46.05°
C)44.85°
D)46.45°
E)45.55°
سؤال
Convert the following to degrees and minutes. Round to the nearest minute. 34.7° ​

A)34°37'
B)34°7'
C)34°41'
D)34°45'
E)34°42'
سؤال
Change the following to decimal degrees. 71°18' ​

A)70.8°
B)73.1°
C)72°
D)71.3°
E)72.3°
سؤال
There is a right triangle ABC with <strong>There is a right triangle ABC with   ,   , and   . Use a calculator to find sin B . Round your answers to the nearest hundredth. ​</strong> A)0.94 B)0.28 C)0.97 D)0.96 E)0.29 <div style=padding-top: 35px> , <strong>There is a right triangle ABC with   ,   , and   . Use a calculator to find sin B . Round your answers to the nearest hundredth. ​</strong> A)0.94 B)0.28 C)0.97 D)0.96 E)0.29 <div style=padding-top: 35px> , and <strong>There is a right triangle ABC with   ,   , and   . Use a calculator to find sin B . Round your answers to the nearest hundredth. ​</strong> A)0.94 B)0.28 C)0.97 D)0.96 E)0.29 <div style=padding-top: 35px> . Use a calculator to find sin B . Round your answers to the nearest hundredth. ​

A)0.94
B)0.28
C)0.97
D)0.96
E)0.29
سؤال
There is a right triangle ABC with There is a right triangle ABC with   ,   , and   . Use a calculator to find sin A , cos A , sin B , and cos B .  Round your answers to the nearest hundredth. sin  A  = __________ cos  A  = __________ sin B = __________ cos B = __________<div style=padding-top: 35px> , There is a right triangle ABC with   ,   , and   . Use a calculator to find sin A , cos A , sin B , and cos B .  Round your answers to the nearest hundredth. sin  A  = __________ cos  A  = __________ sin B = __________ cos B = __________<div style=padding-top: 35px> , and There is a right triangle ABC with   ,   , and   . Use a calculator to find sin A , cos A , sin B , and cos B .  Round your answers to the nearest hundredth. sin  A  = __________ cos  A  = __________ sin B = __________ cos B = __________<div style=padding-top: 35px> . Use a calculator to find sin A , cos A , sin B , and cos B .  Round your answers to the nearest hundredth.
sin  A  = __________
cos  A  = __________
sin B = __________
cos B = __________
سؤال
To further justify the Cofunction Theorem, use your calculator to find a value for each pair of trigonometric functions below. In each case, the trigonometric functions are cofunctions of one another, and the angles are complementary angles. Round your answers to four places past the decimal point. sin 23°, cos 67° ​

A)sin 23° = 0.3907, cos 67° = -0.9205
B)sin 23 ° = -0.3907 , cos 67 ° = 0.9205
C)sin 23 ° = 0.3977 , cos 67 ° = 0.9135
D)sin 23 ° = 0.3907 , cos 67 ° = 0.3907
E)sin 23 ° = 0.3857 , cos 67 ° = 0.9205
سؤال
Use a calculator to find a value of θ  between 0° and 90° that satisfies the statement below. Write your answer in degrees and minutes rounded to the nearest minute. cos  θ = 0.5673 ​

A)θ  = 55°026'
B)θ  = 54°028'
C)θ  = 54°026'
D)θ  = 55°028'
E)θ  = 53°026'
سؤال
Use a calculator to find the following. Round the answer to four places past the decimal point. cos 81.4°
سؤال
Use a calculator to find the following. Round your answer to four places past the decimal point. sin 25°30'
سؤال
Use a calculator to find the following. Round your answer to four places past the decimal point. sec 47.9° ​

A)1.5806
B)1.4246
C)1.4916
D)1.6366
E)1.3686
سؤال
Use a calculator to find the following. Round your answer to four places past the decimal point. cot 31° ​

A)1.5193
B)-1.6813
C)1.6643
D)1.4863
E)1.7873
سؤال
Use a calculator to find the following. Round the answer to four places past the decimal point. cot 36°
سؤال
Use a calculator to find the following. Round your answer to four places past the decimal point. sec 60°48'
سؤال
Use a calculator to find the following. Round your answer to four places past the decimal point. sec 41.2°
سؤال
Find θ  if θ  is between 0° and 90°. Round your answer to the nearest tenth of a degree. cot  θ = 0.8536 ​

A)θ  = 49.4°
B)θ  = 48.0°
C)θ  = 49.5°
D)θ  = 52.3°
E)θ  = 50.6°
سؤال
Use a calculator to find the following. Round the answer to four places past the decimal point. cos 83.9° ​

A)0.0893
B)0.1063
C)0.1193
D)-0.1173
E)0.1293
سؤال
Use a calculator to find the following. Round your answer to four places past the decimal point. sin 25°40' ​

A)0.5561
B)0.6191
C)0.4331
D)0.4481
E)0.5781
سؤال
Use a calculator to find a value of θ  between 0° and 90° that satisfies the statement below. Write your answer in degrees and minutes rounded to the nearest minute. csc  θ = 4.1973 ​

A)θ  = 10°047'
B)θ  = 14°047'
C)θ  = 13°047'
D)θ  = 14°049'
E)θ  = 13°049'
سؤال
Use a calculator to complete the table of sin and csc values and determine which of the tables below displays the correct values. (Be sure your calculator is in degree mode.)Round all answers to four digits past the decimal point. If you have a graphing calculator with table-building capabilities, use it to construct the tables.

A)​ <strong>Use a calculator to complete the table of sin and csc values and determine which of the tables below displays the correct values. (Be sure your calculator is in degree mode.)Round all answers to four digits past the decimal point. If you have a graphing calculator with table-building capabilities, use it to construct the tables.</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use a calculator to complete the table of sin and csc values and determine which of the tables below displays the correct values. (Be sure your calculator is in degree mode.)Round all answers to four digits past the decimal point. If you have a graphing calculator with table-building capabilities, use it to construct the tables.</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use a calculator to complete the table of sin and csc values and determine which of the tables below displays the correct values. (Be sure your calculator is in degree mode.)Round all answers to four digits past the decimal point. If you have a graphing calculator with table-building capabilities, use it to construct the tables.</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use a calculator to complete the table of sin and csc values and determine which of the tables below displays the correct values. (Be sure your calculator is in degree mode.)Round all answers to four digits past the decimal point. If you have a graphing calculator with table-building capabilities, use it to construct the tables.</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use a calculator to complete the table of sin and csc values and determine which of the tables below displays the correct values. (Be sure your calculator is in degree mode.)Round all answers to four digits past the decimal point. If you have a graphing calculator with table-building capabilities, use it to construct the tables.</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Change the following to decimal degrees. If rounding is necessary, round to the nearest hundredth of a degree. 44°21' __________°
سؤال
Find θ  if θ  is between 0° and 90°. Round your answer to the nearest tenth of a degree. sin  θ ​ = 0.6438 ​

A)θ = 42.2°
B)θ  = 41.4°
C)θ  = 40.1°
D)θ  = 40.0°
E)θ  = 41.6°
سؤال
Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​

A)​ <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​     <div style=padding-top: 35px> <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​     <div style=padding-top: 35px>
B)​ <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​     <div style=padding-top: 35px> <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​     <div style=padding-top: 35px>
C)​ <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​     <div style=padding-top: 35px> <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​     <div style=padding-top: 35px>
D)​ <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​     <div style=padding-top: 35px> <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​     <div style=padding-top: 35px>
E)​ <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​     <div style=padding-top: 35px> <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​     <div style=padding-top: 35px>
سؤال
Work the following problem on your calculator. Do not write down or round off any intermediate answers. <strong>Work the following problem on your calculator. Do not write down or round off any intermediate answers.   ​</strong> A)1 B)0.3 C)0.6 D)3 E)0.4 <div style=padding-top: 35px>

A)1
B)0.3
C)0.6
D)3
E)0.4
سؤال
Change the following to decimal degrees. If rounding is necessary, round to the nearest tenth of a degree. 73°12' __________°
سؤال
Use a calculator to find the following. Round your answer to four places past the decimal point. sec 30°48' ​

A)1.2872
B)1.1642
C)1.0972
D)-0.9662
E)1.3182
سؤال
Refer to right triangle ABC with <strong>Refer to right triangle ABC with   . ​   ​ If    mm and    mm, find B . Round the answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . ​ <strong>Refer to right triangle ABC with   . ​   ​ If    mm and    mm, find B . Round the answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> ​ If <strong>Refer to right triangle ABC with   . ​   ​ If    mm and    mm, find B . Round the answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  mm and <strong>Refer to right triangle ABC with   . ​   ​ If    mm and    mm, find B . Round the answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>  mm, find B . Round the answer to the nearest whole number. ​

A)​ <strong>Refer to right triangle ABC with   . ​   ​ If    mm and    mm, find B . Round the answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Refer to right triangle ABC with   . ​   ​ If    mm and    mm, find B . Round the answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Refer to right triangle ABC with   . ​   ​ If    mm and    mm, find B . Round the answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Refer to right triangle ABC with   . ​   ​ If    mm and    mm, find B . Round the answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Refer to right triangle ABC with   . ​   ​ If    mm and    mm, find B . Round the answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Use a calculator to find a value of θ  between 0° and 90° that satisfies the statement below. Write your answer in degrees and minutes rounded to the nearest minute. csc  θ = 5.3187 θ =  _____°_____'
سؤال
Refer to right triangle ABC with <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the answers to the nearest tenth if necessary. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . Solve for all the missing parts using the given information. <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the answers to the nearest tenth if necessary. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> Round the answers to the nearest tenth if necessary. ​

A) <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the answers to the nearest tenth if necessary. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the answers to the nearest tenth if necessary. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the answers to the nearest tenth if necessary. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the answers to the nearest tenth if necessary. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the answers to the nearest tenth if necessary. ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Convert the following to degrees and minutes. Round to the nearest minute. 32.8° _____°_____'
سؤال
Add. (34°46')+ (29°24')_____°_____'
سؤال
Refer to right triangle ABC with <strong>Refer to right triangle ABC with   .   If    and    cm, find b . Round the answer to the nearest whole number. ​</strong> A)65 cm B)64 cm C)68 cm D)67 cm E)69 cm <div style=padding-top: 35px> . <strong>Refer to right triangle ABC with   .   If    and    cm, find b . Round the answer to the nearest whole number. ​</strong> A)65 cm B)64 cm C)68 cm D)67 cm E)69 cm <div style=padding-top: 35px> If <strong>Refer to right triangle ABC with   .   If    and    cm, find b . Round the answer to the nearest whole number. ​</strong> A)65 cm B)64 cm C)68 cm D)67 cm E)69 cm <div style=padding-top: 35px>  and <strong>Refer to right triangle ABC with   .   If    and    cm, find b . Round the answer to the nearest whole number. ​</strong> A)65 cm B)64 cm C)68 cm D)67 cm E)69 cm <div style=padding-top: 35px>  cm, find b . Round the answer to the nearest whole number. ​

A)65 cm
B)64 cm
C)68 cm
D)67 cm
E)69 cm
سؤال
Convert the following to degrees and minutes. Round to the nearest minute. 93.65° _____°_____'
سؤال
Use a calculator to find a value of θ  between 0° and 90° that satisfies the statement below. Write your answer in degrees and minutes rounded to the nearest minute. cos  θ = 0.3145 θ =  _____°_____'
سؤال
Refer to right triangle ABC with <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the number of degrees, the number of minutes, and the lengths of the sides to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px> . Solve for all the missing parts using the given information. <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the number of degrees, the number of minutes, and the lengths of the sides to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px> Round the number of degrees, the number of minutes, and the lengths of the sides to the nearest whole number. ​

A)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the number of degrees, the number of minutes, and the lengths of the sides to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
B)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the number of degrees, the number of minutes, and the lengths of the sides to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
C)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the number of degrees, the number of minutes, and the lengths of the sides to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
D)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the number of degrees, the number of minutes, and the lengths of the sides to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
E) <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the number of degrees, the number of minutes, and the lengths of the sides to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)   <div style=padding-top: 35px>
سؤال
Complete each of the following tables. Round all answers to the nearest tenth. Complete each of the following tables. Round all answers to the nearest tenth.  <div style=padding-top: 35px>
سؤال
To further justify the Cofunction Theorem, use your calculator to find a value for each pair of trigonometric functions below. In each case, the trigonometric functions are cofunctions of one another, and the angles are complementary angles. Round your answers to four places past the decimal point. sin 28° = _____ , cos 62° = _____
سؤال
Find θ  if θ  is between 0° and 90°. Round your answer to the nearest tenth of a degree. sin  θ = 0.6792 θ =  __________°
سؤال
Work each of the following problems on your calculator. Do not write down or round off any intermediate answers. Work each of the following problems on your calculator. Do not write down or round off any intermediate answers.    = __________    =  __________    =  __________    =  __________<div style=padding-top: 35px>  = __________ Work each of the following problems on your calculator. Do not write down or round off any intermediate answers.    = __________    =  __________    =  __________    =  __________<div style=padding-top: 35px>  =  __________ Work each of the following problems on your calculator. Do not write down or round off any intermediate answers.    = __________    =  __________    =  __________    =  __________<div style=padding-top: 35px>  =  __________ Work each of the following problems on your calculator. Do not write down or round off any intermediate answers.    = __________    =  __________    =  __________    =  __________<div style=padding-top: 35px>  =  __________
سؤال
Refer to right triangle ABC with <strong>Refer to right triangle ABC with   .   ​ If    inches and    inches, find B .​ Round the answer to the nearest tenth. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . <strong>Refer to right triangle ABC with   .   ​ If    inches and    inches, find B .​ Round the answer to the nearest tenth. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> ​ If <strong>Refer to right triangle ABC with   .   ​ If    inches and    inches, find B .​ Round the answer to the nearest tenth. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  inches and <strong>Refer to right triangle ABC with   .   ​ If    inches and    inches, find B .​ Round the answer to the nearest tenth. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>  inches, find B .​ Round the answer to the nearest tenth. ​

A) <strong>Refer to right triangle ABC with   .   ​ If    inches and    inches, find B .​ Round the answer to the nearest tenth. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Refer to right triangle ABC with   .   ​ If    inches and    inches, find B .​ Round the answer to the nearest tenth. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Refer to right triangle ABC with   .   ​ If    inches and    inches, find B .​ Round the answer to the nearest tenth. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Refer to right triangle ABC with   .   ​ If    inches and    inches, find B .​ Round the answer to the nearest tenth. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Refer to right triangle ABC with   .   ​ If    inches and    inches, find B .​ Round the answer to the nearest tenth. ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Subtract. (86°34') - (25°64')_____°_____'
سؤال
Refer to right triangle ABC with <strong>Refer to right triangle ABC with   . ​   ​ If    and    yd, find a . Round the answer to the nearest hundredth. ​</strong> A)8.79 yd B)8.85 yd C)8.81 yd D)8.75 yd E)8.77 yd <div style=padding-top: 35px> . ​ <strong>Refer to right triangle ABC with   . ​   ​ If    and    yd, find a . Round the answer to the nearest hundredth. ​</strong> A)8.79 yd B)8.85 yd C)8.81 yd D)8.75 yd E)8.77 yd <div style=padding-top: 35px> ​ If <strong>Refer to right triangle ABC with   . ​   ​ If    and    yd, find a . Round the answer to the nearest hundredth. ​</strong> A)8.79 yd B)8.85 yd C)8.81 yd D)8.75 yd E)8.77 yd <div style=padding-top: 35px>  and <strong>Refer to right triangle ABC with   . ​   ​ If    and    yd, find a . Round the answer to the nearest hundredth. ​</strong> A)8.79 yd B)8.85 yd C)8.81 yd D)8.75 yd E)8.77 yd <div style=padding-top: 35px>  yd, find a . Round the answer to the nearest hundredth. ​

A)8.79 yd
B)8.85 yd
C)8.81 yd
D)8.75 yd
E)8.77 yd
سؤال
Refer to right triangle ABC with <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round each answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> . Solve for all the missing parts using the given information. <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round each answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> Round each answer to the nearest whole number. ​

A)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round each answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round each answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round each answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round each answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round each answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
سؤال
Use a calculator to complete the following table. (Be sure your calculator is in degree mode.)Round all answers to four digits past the decimal point. If you have a graphing calculator with table-building capabilities, use it to construct the tables. Use a calculator to complete the following table. (Be sure your calculator is in degree mode.)Round all answers to four digits past the decimal point. If you have a graphing calculator with table-building capabilities, use it to construct the tables.  <div style=padding-top: 35px>
سؤال
Find θ  if θ  is between 0° and 90°. Round your answer to the nearest tenth of a degree. cot  θ = 0.7382 θ =  __________°
سؤال
Refer to right triangle ABC with <strong>Refer to right triangle ABC with   .   ​ If    and    cm, find b . Round the answer to the nearest hundredth. ​</strong> A)2.12 cm B)2.27 cm C)2.18 cm D)2.21 cm E)2.33 cm <div style=padding-top: 35px> . <strong>Refer to right triangle ABC with   .   ​ If    and    cm, find b . Round the answer to the nearest hundredth. ​</strong> A)2.12 cm B)2.27 cm C)2.18 cm D)2.21 cm E)2.33 cm <div style=padding-top: 35px> ​ If <strong>Refer to right triangle ABC with   .   ​ If    and    cm, find b . Round the answer to the nearest hundredth. ​</strong> A)2.12 cm B)2.27 cm C)2.18 cm D)2.21 cm E)2.33 cm <div style=padding-top: 35px>  and <strong>Refer to right triangle ABC with   .   ​ If    and    cm, find b . Round the answer to the nearest hundredth. ​</strong> A)2.12 cm B)2.27 cm C)2.18 cm D)2.21 cm E)2.33 cm <div style=padding-top: 35px>  cm, find b . Round the answer to the nearest hundredth. ​

A)2.12 cm
B)2.27 cm
C)2.18 cm
D)2.21 cm
E)2.33 cm
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Deck 2: Right Triangle Trigonometry
1
For expression <strong>For expression   , replace z with 90°, and then simplify as much as possible. ​</strong> A)   B)​   C)​   D)​   E)​   , replace z with 90°, and then simplify as much as possible. ​

A) <strong>For expression   , replace z with 90°, and then simplify as much as possible. ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>For expression   , replace z with 90°, and then simplify as much as possible. ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>For expression   , replace z with 90°, and then simplify as much as possible. ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>For expression   , replace z with 90°, and then simplify as much as possible. ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>For expression   , replace z with 90°, and then simplify as much as possible. ​</strong> A)   B)​   C)​   D)​   E)​
​
2
Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement. <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____ ​</strong> A)   B)​   C)​   D)​   E)​   _____ ​

A) <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____ ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____ ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____ ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____ ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____ ​</strong> A)   B)​   C)​   D)​   E)​
​
3
Find cos A in the right triangle below. <strong>Find cos A in the right triangle below.   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>Find cos A in the right triangle below.   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Find cos A in the right triangle below.   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Find cos A in the right triangle below.   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Find cos A in the right triangle below.   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Find cos A in the right triangle below.   ​</strong> A)   B)​   C)​   D)​   E)​
4
Find the exact value of <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)   . ​

A) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)
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5
Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression. <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.     ​</strong> A)   B)​   C)​   D)​   E)​   <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.     ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.     ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.     ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.     ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.     ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.     ​</strong> A)   B)​   C)​   D)​   E)​
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6
In the diagram below, angle A is in standard position. Find sin A . ​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​     <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​
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7
Find the exact value for csc 60°. ​

A) <strong>Find the exact value for csc 60°. ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Find the exact value for csc 60°. ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Find the exact value for csc 60°. ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Find the exact value for csc 60°. ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Find the exact value for csc 60°. ​</strong> A)   B)​   C)​   D)​   E)​
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8
Find the exact value of <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)   . ​

A) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)
B) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)
C) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)
D) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)
E) <strong>Find the exact value of   . ​</strong> A)   B)   C)   D)   E)
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9
In the diagram below, angle A is in standard position. Find sin A . ​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>In the diagram below, angle A is in standard position. Find sin A . ​   ​</strong> A)   B)​   C)​   D)​   E)​
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10
Which of the following tables has been completed correctly using exact values? ​

A) <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)   C)   D)   E)
B) <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)   C)   D)   E)
C) <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)   C)   D)   E)
D) <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)   C)   D)   E)
E) <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)   C)   D)   E)
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11
Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement. <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____° ​</strong> A)   B)​   C)​   D)​   E)​   _____° ​

A) <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____° ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____° ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____° ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____° ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____° ​</strong> A)   B)​   C)​   D)​   E)​
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12
Right triangle ABC  has <strong>Right triangle ABC  has   ,   , and   . Use this information to find cos A ​</strong> A)   B)​   C)​   D)​   E)​   , <strong>Right triangle ABC  has   ,   , and   . Use this information to find cos A ​</strong> A)   B)​   C)​   D)​   E)​   , and <strong>Right triangle ABC  has   ,   , and   . Use this information to find cos A ​</strong> A)   B)​   C)​   D)​   E)​   . Use this information to find cos A ​

A) <strong>Right triangle ABC  has   ,   , and   . Use this information to find cos A ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Right triangle ABC  has   ,   , and   . Use this information to find cos A ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Right triangle ABC  has   ,   , and   . Use this information to find cos A ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Right triangle ABC  has   ,   , and   . Use this information to find cos A ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Right triangle ABC  has   ,   , and   . Use this information to find cos A ​</strong> A)   B)​   C)​   D)​   E)​
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13
For the expression that follows, replace x with 30°, and then simplify as much as possible. <strong>For the expression that follows, replace x with 30°, and then simplify as much as possible.   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>For the expression that follows, replace x with 30°, and then simplify as much as possible.   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>For the expression that follows, replace x with 30°, and then simplify as much as possible.   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>For the expression that follows, replace x with 30°, and then simplify as much as possible.   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>For the expression that follows, replace x with 30°, and then simplify as much as possible.   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>For the expression that follows, replace x with 30°, and then simplify as much as possible.   ​</strong> A)   B)​   C)​   D)​   E)​
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14
Right triangle ABC  has <strong>Right triangle ABC  has   ,   , and   . Use this information to find sin A . ​</strong> A)   B)​   C)​   D)​   E)​   , <strong>Right triangle ABC  has   ,   , and   . Use this information to find sin A . ​</strong> A)   B)​   C)​   D)​   E)​   , and <strong>Right triangle ABC  has   ,   , and   . Use this information to find sin A . ​</strong> A)   B)​   C)​   D)​   E)​   . Use this information to find sin A . ​

A) <strong>Right triangle ABC  has   ,   , and   . Use this information to find sin A . ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Right triangle ABC  has   ,   , and   . Use this information to find sin A . ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Right triangle ABC  has   ,   , and   . Use this information to find sin A . ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Right triangle ABC  has   ,   , and   . Use this information to find sin A . ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Right triangle ABC  has   ,   , and   . Use this information to find sin A . ​</strong> A)   B)​   C)​   D)​   E)​
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15
Find tan B in the right triangle below <strong>Find tan B in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​   . <strong>Find tan B in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>Find tan B in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Find tan B in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Find tan B in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Find tan B in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Find tan B in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​
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16
Find the exact value of sec 45°. ​

A)​ <strong>Find the exact value of sec 45°. ​</strong> A)​   B)​   C)​   D)​   E)
B)​ <strong>Find the exact value of sec 45°. ​</strong> A)​   B)​   C)​   D)​   E)
C)​ <strong>Find the exact value of sec 45°. ​</strong> A)​   B)​   C)​   D)​   E)
D)​ <strong>Find the exact value of sec 45°. ​</strong> A)​   B)​   C)​   D)​   E)
E) <strong>Find the exact value of sec 45°. ​</strong> A)​   B)​   C)​   D)​   E)
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17
Find tan A in the right triangle below <strong>Find tan A in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​   . <strong>Find tan A in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>Find tan A in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Find tan A in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Find tan A in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Find tan A in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Find tan A in the right triangle below   .   ​</strong> A)   B)​   C)​   D)​   E)​
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18
Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression. <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.    </strong> A)   B)   C)1 D)0 E)   <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.    </strong> A)   B)   C)1 D)0 E)

A) <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.    </strong> A)   B)   C)1 D)0 E)
B) <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.    </strong> A)   B)   C)1 D)0 E)
C)1
D)0
E) <strong>Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.    </strong> A)   B)   C)1 D)0 E)
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19
There is a right triangle ABC with <strong>There is a right triangle ABC with   ,   , and    Use a calculator to find cos A . Round your answer to the nearest hundredth. ​</strong> A)0.87 B)0.86 C)0.48 D)0.49 E)0.85 , <strong>There is a right triangle ABC with   ,   , and    Use a calculator to find cos A . Round your answer to the nearest hundredth. ​</strong> A)0.87 B)0.86 C)0.48 D)0.49 E)0.85 , and <strong>There is a right triangle ABC with   ,   , and    Use a calculator to find cos A . Round your answer to the nearest hundredth. ​</strong> A)0.87 B)0.86 C)0.48 D)0.49 E)0.85  Use a calculator to find cos A . Round your answer to the nearest hundredth. ​

A)0.87
B)0.86
C)0.48
D)0.49
E)0.85
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20
Which of the following tables has been completed correctly using exact values? ​

A) <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)​   C)   D)   E)
B)​ <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)​   C)   D)   E)
C) <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)​   C)   D)   E)
D) <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)​   C)   D)   E)
E) <strong>Which of the following tables has been completed correctly using exact values? ​</strong> A)   B)​   C)   D)   E)
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21
Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement. Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____° _____°
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22
Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression. Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.    Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.
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23
Add. (34°41')+  (23 °22 ' ) ​

A)23°03'
B)59°23'
C)59°03'
D)58°23'
E)58°03'
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24
Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement. Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____ _____
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25
Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression. Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.    Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.
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26
There is a right triangle ABC with There is a right triangle ABC with   ,   , and   . Use a calculator to find sin A , cos A , sin B , and cos  B . Round your answers to the nearest hundredth. sin A = __________ cos A = __________ sin B = __________ cos B = __________ , There is a right triangle ABC with   ,   , and   . Use a calculator to find sin A , cos A , sin B , and cos  B . Round your answers to the nearest hundredth. sin A = __________ cos A = __________ sin B = __________ cos B = __________ , and There is a right triangle ABC with   ,   , and   . Use a calculator to find sin A , cos A , sin B , and cos  B . Round your answers to the nearest hundredth. sin A = __________ cos A = __________ sin B = __________ cos B = __________ . Use a calculator to find sin A , cos A , sin B , and cos  B . Round your answers to the nearest hundredth.
sin A = __________
cos A = __________
sin B = __________
cos B = __________
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27
Suppose each edge of the cube shown in the figure is 3 inches long. Find the sine and cosine of the angle formed by diagonals GB and 0 GD . <strong>Suppose each edge of the cube shown in the figure is 3 inches long. Find the sine and cosine of the angle formed by diagonals GB and 0 GD .   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Suppose each edge of the cube shown in the figure is 3 inches long. Find the sine and cosine of the angle formed by diagonals GB and 0 GD .   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Suppose each edge of the cube shown in the figure is 3 inches long. Find the sine and cosine of the angle formed by diagonals GB and 0 GD .   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Suppose each edge of the cube shown in the figure is 3 inches long. Find the sine and cosine of the angle formed by diagonals GB and 0 GD .   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Suppose each edge of the cube shown in the figure is 3 inches long. Find the sine and cosine of the angle formed by diagonals GB and 0 GD .   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Suppose each edge of the cube shown in the figure is 3 inches long. Find the sine and cosine of the angle formed by diagonals GB and 0 GD .   ​</strong> A)​   B)​   C)​   D)​   E)​
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28
Find the exact value of cot 60°.
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29
For the expression For the expression   , replace z with   , and then simplify as much as possible. , replace z with For the expression   , replace z with   , and then simplify as much as possible. , and then simplify as much as possible.
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30
Find the exact value for csc 60°.
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31
Convert the following to degrees and minutes. Round to the nearest minute. 91.15° ​

A)91°15'
B)91°14'
C)91°10'
D)91°9'
E)91°6'
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32
Subtract. (83°36')- (72°66') ​

A)10°30'
B)31°10'
C)10°31'
D)11°31'
E)30°10'
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33
Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression. Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.    Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.
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34
For the expression that follows, replace x with 30°, and then simplify as much as possible. For the expression that follows, replace x with 30°, and then simplify as much as possible.
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35
Find the exact value of sec 30°.
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36
Change the following to decimal degrees. 45°33' ​

A)46.65°
B)46.05°
C)44.85°
D)46.45°
E)45.55°
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37
Convert the following to degrees and minutes. Round to the nearest minute. 34.7° ​

A)34°37'
B)34°7'
C)34°41'
D)34°45'
E)34°42'
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38
Change the following to decimal degrees. 71°18' ​

A)70.8°
B)73.1°
C)72°
D)71.3°
E)72.3°
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39
There is a right triangle ABC with <strong>There is a right triangle ABC with   ,   , and   . Use a calculator to find sin B . Round your answers to the nearest hundredth. ​</strong> A)0.94 B)0.28 C)0.97 D)0.96 E)0.29 , <strong>There is a right triangle ABC with   ,   , and   . Use a calculator to find sin B . Round your answers to the nearest hundredth. ​</strong> A)0.94 B)0.28 C)0.97 D)0.96 E)0.29 , and <strong>There is a right triangle ABC with   ,   , and   . Use a calculator to find sin B . Round your answers to the nearest hundredth. ​</strong> A)0.94 B)0.28 C)0.97 D)0.96 E)0.29 . Use a calculator to find sin B . Round your answers to the nearest hundredth. ​

A)0.94
B)0.28
C)0.97
D)0.96
E)0.29
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40
There is a right triangle ABC with There is a right triangle ABC with   ,   , and   . Use a calculator to find sin A , cos A , sin B , and cos B .  Round your answers to the nearest hundredth. sin  A  = __________ cos  A  = __________ sin B = __________ cos B = __________ , There is a right triangle ABC with   ,   , and   . Use a calculator to find sin A , cos A , sin B , and cos B .  Round your answers to the nearest hundredth. sin  A  = __________ cos  A  = __________ sin B = __________ cos B = __________ , and There is a right triangle ABC with   ,   , and   . Use a calculator to find sin A , cos A , sin B , and cos B .  Round your answers to the nearest hundredth. sin  A  = __________ cos  A  = __________ sin B = __________ cos B = __________ . Use a calculator to find sin A , cos A , sin B , and cos B .  Round your answers to the nearest hundredth.
sin  A  = __________
cos  A  = __________
sin B = __________
cos B = __________
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41
To further justify the Cofunction Theorem, use your calculator to find a value for each pair of trigonometric functions below. In each case, the trigonometric functions are cofunctions of one another, and the angles are complementary angles. Round your answers to four places past the decimal point. sin 23°, cos 67° ​

A)sin 23° = 0.3907, cos 67° = -0.9205
B)sin 23 ° = -0.3907 , cos 67 ° = 0.9205
C)sin 23 ° = 0.3977 , cos 67 ° = 0.9135
D)sin 23 ° = 0.3907 , cos 67 ° = 0.3907
E)sin 23 ° = 0.3857 , cos 67 ° = 0.9205
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42
Use a calculator to find a value of θ  between 0° and 90° that satisfies the statement below. Write your answer in degrees and minutes rounded to the nearest minute. cos  θ = 0.5673 ​

A)θ  = 55°026'
B)θ  = 54°028'
C)θ  = 54°026'
D)θ  = 55°028'
E)θ  = 53°026'
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43
Use a calculator to find the following. Round the answer to four places past the decimal point. cos 81.4°
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44
Use a calculator to find the following. Round your answer to four places past the decimal point. sin 25°30'
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45
Use a calculator to find the following. Round your answer to four places past the decimal point. sec 47.9° ​

A)1.5806
B)1.4246
C)1.4916
D)1.6366
E)1.3686
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46
Use a calculator to find the following. Round your answer to four places past the decimal point. cot 31° ​

A)1.5193
B)-1.6813
C)1.6643
D)1.4863
E)1.7873
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47
Use a calculator to find the following. Round the answer to four places past the decimal point. cot 36°
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48
Use a calculator to find the following. Round your answer to four places past the decimal point. sec 60°48'
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49
Use a calculator to find the following. Round your answer to four places past the decimal point. sec 41.2°
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50
Find θ  if θ  is between 0° and 90°. Round your answer to the nearest tenth of a degree. cot  θ = 0.8536 ​

A)θ  = 49.4°
B)θ  = 48.0°
C)θ  = 49.5°
D)θ  = 52.3°
E)θ  = 50.6°
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51
Use a calculator to find the following. Round the answer to four places past the decimal point. cos 83.9° ​

A)0.0893
B)0.1063
C)0.1193
D)-0.1173
E)0.1293
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52
Use a calculator to find the following. Round your answer to four places past the decimal point. sin 25°40' ​

A)0.5561
B)0.6191
C)0.4331
D)0.4481
E)0.5781
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53
Use a calculator to find a value of θ  between 0° and 90° that satisfies the statement below. Write your answer in degrees and minutes rounded to the nearest minute. csc  θ = 4.1973 ​

A)θ  = 10°047'
B)θ  = 14°047'
C)θ  = 13°047'
D)θ  = 14°049'
E)θ  = 13°049'
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54
Use a calculator to complete the table of sin and csc values and determine which of the tables below displays the correct values. (Be sure your calculator is in degree mode.)Round all answers to four digits past the decimal point. If you have a graphing calculator with table-building capabilities, use it to construct the tables.

A)​ <strong>Use a calculator to complete the table of sin and csc values and determine which of the tables below displays the correct values. (Be sure your calculator is in degree mode.)Round all answers to four digits past the decimal point. If you have a graphing calculator with table-building capabilities, use it to construct the tables.</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use a calculator to complete the table of sin and csc values and determine which of the tables below displays the correct values. (Be sure your calculator is in degree mode.)Round all answers to four digits past the decimal point. If you have a graphing calculator with table-building capabilities, use it to construct the tables.</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use a calculator to complete the table of sin and csc values and determine which of the tables below displays the correct values. (Be sure your calculator is in degree mode.)Round all answers to four digits past the decimal point. If you have a graphing calculator with table-building capabilities, use it to construct the tables.</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use a calculator to complete the table of sin and csc values and determine which of the tables below displays the correct values. (Be sure your calculator is in degree mode.)Round all answers to four digits past the decimal point. If you have a graphing calculator with table-building capabilities, use it to construct the tables.</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use a calculator to complete the table of sin and csc values and determine which of the tables below displays the correct values. (Be sure your calculator is in degree mode.)Round all answers to four digits past the decimal point. If you have a graphing calculator with table-building capabilities, use it to construct the tables.</strong> A)​   B)​   C)​   D)​   E)​
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55
Change the following to decimal degrees. If rounding is necessary, round to the nearest hundredth of a degree. 44°21' __________°
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56
Find θ  if θ  is between 0° and 90°. Round your answer to the nearest tenth of a degree. sin  θ ​ = 0.6438 ​

A)θ = 42.2°
B)θ  = 41.4°
C)θ  = 40.1°
D)θ  = 40.0°
E)θ  = 41.6°
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57
Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​

A)​ <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​     <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​
B)​ <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​     <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​
C)​ <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​     <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​
D)​ <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​     <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​
E)​ <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​     <strong>Calculate the tangent values for each value of x indicated in the sets of tables shown below. Determine which set of tables displays the correct values. Round all answers to the nearest tenth. ​</strong> A)​     B)​     C)​     D)​     E)​
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58
Work the following problem on your calculator. Do not write down or round off any intermediate answers. <strong>Work the following problem on your calculator. Do not write down or round off any intermediate answers.   ​</strong> A)1 B)0.3 C)0.6 D)3 E)0.4

A)1
B)0.3
C)0.6
D)3
E)0.4
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59
Change the following to decimal degrees. If rounding is necessary, round to the nearest tenth of a degree. 73°12' __________°
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60
Use a calculator to find the following. Round your answer to four places past the decimal point. sec 30°48' ​

A)1.2872
B)1.1642
C)1.0972
D)-0.9662
E)1.3182
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61
Refer to right triangle ABC with <strong>Refer to right triangle ABC with   . ​   ​ If    mm and    mm, find B . Round the answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   . ​ <strong>Refer to right triangle ABC with   . ​   ​ If    mm and    mm, find B . Round the answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   ​ If <strong>Refer to right triangle ABC with   . ​   ​ If    mm and    mm, find B . Round the answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​    mm and <strong>Refer to right triangle ABC with   . ​   ​ If    mm and    mm, find B . Round the answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​    mm, find B . Round the answer to the nearest whole number. ​

A)​ <strong>Refer to right triangle ABC with   . ​   ​ If    mm and    mm, find B . Round the answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Refer to right triangle ABC with   . ​   ​ If    mm and    mm, find B . Round the answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Refer to right triangle ABC with   . ​   ​ If    mm and    mm, find B . Round the answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Refer to right triangle ABC with   . ​   ​ If    mm and    mm, find B . Round the answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Refer to right triangle ABC with   . ​   ​ If    mm and    mm, find B . Round the answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​
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62
Use a calculator to find a value of θ  between 0° and 90° that satisfies the statement below. Write your answer in degrees and minutes rounded to the nearest minute. csc  θ = 5.3187 θ =  _____°_____'
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63
Refer to right triangle ABC with <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the answers to the nearest tenth if necessary. ​</strong> A)   B)​   C)​   D)​   E)​   . Solve for all the missing parts using the given information. <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the answers to the nearest tenth if necessary. ​</strong> A)   B)​   C)​   D)​   E)​   Round the answers to the nearest tenth if necessary. ​

A) <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the answers to the nearest tenth if necessary. ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the answers to the nearest tenth if necessary. ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the answers to the nearest tenth if necessary. ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the answers to the nearest tenth if necessary. ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the answers to the nearest tenth if necessary. ​</strong> A)   B)​   C)​   D)​   E)​
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64
Convert the following to degrees and minutes. Round to the nearest minute. 32.8° _____°_____'
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65
Add. (34°46')+ (29°24')_____°_____'
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66
Refer to right triangle ABC with <strong>Refer to right triangle ABC with   .   If    and    cm, find b . Round the answer to the nearest whole number. ​</strong> A)65 cm B)64 cm C)68 cm D)67 cm E)69 cm . <strong>Refer to right triangle ABC with   .   If    and    cm, find b . Round the answer to the nearest whole number. ​</strong> A)65 cm B)64 cm C)68 cm D)67 cm E)69 cm If <strong>Refer to right triangle ABC with   .   If    and    cm, find b . Round the answer to the nearest whole number. ​</strong> A)65 cm B)64 cm C)68 cm D)67 cm E)69 cm  and <strong>Refer to right triangle ABC with   .   If    and    cm, find b . Round the answer to the nearest whole number. ​</strong> A)65 cm B)64 cm C)68 cm D)67 cm E)69 cm  cm, find b . Round the answer to the nearest whole number. ​

A)65 cm
B)64 cm
C)68 cm
D)67 cm
E)69 cm
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67
Convert the following to degrees and minutes. Round to the nearest minute. 93.65° _____°_____'
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68
Use a calculator to find a value of θ  between 0° and 90° that satisfies the statement below. Write your answer in degrees and minutes rounded to the nearest minute. cos  θ = 0.3145 θ =  _____°_____'
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69
Refer to right triangle ABC with <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the number of degrees, the number of minutes, and the lengths of the sides to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)   . Solve for all the missing parts using the given information. <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the number of degrees, the number of minutes, and the lengths of the sides to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)   Round the number of degrees, the number of minutes, and the lengths of the sides to the nearest whole number. ​

A)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the number of degrees, the number of minutes, and the lengths of the sides to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)
B)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the number of degrees, the number of minutes, and the lengths of the sides to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)
C)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the number of degrees, the number of minutes, and the lengths of the sides to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)
D)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the number of degrees, the number of minutes, and the lengths of the sides to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)
E) <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the number of degrees, the number of minutes, and the lengths of the sides to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)
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70
Complete each of the following tables. Round all answers to the nearest tenth. Complete each of the following tables. Round all answers to the nearest tenth.
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71
To further justify the Cofunction Theorem, use your calculator to find a value for each pair of trigonometric functions below. In each case, the trigonometric functions are cofunctions of one another, and the angles are complementary angles. Round your answers to four places past the decimal point. sin 28° = _____ , cos 62° = _____
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72
Find θ  if θ  is between 0° and 90°. Round your answer to the nearest tenth of a degree. sin  θ = 0.6792 θ =  __________°
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73
Work each of the following problems on your calculator. Do not write down or round off any intermediate answers. Work each of the following problems on your calculator. Do not write down or round off any intermediate answers.    = __________    =  __________    =  __________    =  __________  = __________ Work each of the following problems on your calculator. Do not write down or round off any intermediate answers.    = __________    =  __________    =  __________    =  __________  =  __________ Work each of the following problems on your calculator. Do not write down or round off any intermediate answers.    = __________    =  __________    =  __________    =  __________  =  __________ Work each of the following problems on your calculator. Do not write down or round off any intermediate answers.    = __________    =  __________    =  __________    =  __________  =  __________
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74
Refer to right triangle ABC with <strong>Refer to right triangle ABC with   .   ​ If    inches and    inches, find B .​ Round the answer to the nearest tenth. ​</strong> A)   B)   C)   D)   E)   . <strong>Refer to right triangle ABC with   .   ​ If    inches and    inches, find B .​ Round the answer to the nearest tenth. ​</strong> A)   B)   C)   D)   E)   ​ If <strong>Refer to right triangle ABC with   .   ​ If    inches and    inches, find B .​ Round the answer to the nearest tenth. ​</strong> A)   B)   C)   D)   E)    inches and <strong>Refer to right triangle ABC with   .   ​ If    inches and    inches, find B .​ Round the answer to the nearest tenth. ​</strong> A)   B)   C)   D)   E)    inches, find B .​ Round the answer to the nearest tenth. ​

A) <strong>Refer to right triangle ABC with   .   ​ If    inches and    inches, find B .​ Round the answer to the nearest tenth. ​</strong> A)   B)   C)   D)   E)
B) <strong>Refer to right triangle ABC with   .   ​ If    inches and    inches, find B .​ Round the answer to the nearest tenth. ​</strong> A)   B)   C)   D)   E)
C) <strong>Refer to right triangle ABC with   .   ​ If    inches and    inches, find B .​ Round the answer to the nearest tenth. ​</strong> A)   B)   C)   D)   E)
D) <strong>Refer to right triangle ABC with   .   ​ If    inches and    inches, find B .​ Round the answer to the nearest tenth. ​</strong> A)   B)   C)   D)   E)
E) <strong>Refer to right triangle ABC with   .   ​ If    inches and    inches, find B .​ Round the answer to the nearest tenth. ​</strong> A)   B)   C)   D)   E)
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75
Subtract. (86°34') - (25°64')_____°_____'
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76
Refer to right triangle ABC with <strong>Refer to right triangle ABC with   . ​   ​ If    and    yd, find a . Round the answer to the nearest hundredth. ​</strong> A)8.79 yd B)8.85 yd C)8.81 yd D)8.75 yd E)8.77 yd . ​ <strong>Refer to right triangle ABC with   . ​   ​ If    and    yd, find a . Round the answer to the nearest hundredth. ​</strong> A)8.79 yd B)8.85 yd C)8.81 yd D)8.75 yd E)8.77 yd ​ If <strong>Refer to right triangle ABC with   . ​   ​ If    and    yd, find a . Round the answer to the nearest hundredth. ​</strong> A)8.79 yd B)8.85 yd C)8.81 yd D)8.75 yd E)8.77 yd  and <strong>Refer to right triangle ABC with   . ​   ​ If    and    yd, find a . Round the answer to the nearest hundredth. ​</strong> A)8.79 yd B)8.85 yd C)8.81 yd D)8.75 yd E)8.77 yd  yd, find a . Round the answer to the nearest hundredth. ​

A)8.79 yd
B)8.85 yd
C)8.81 yd
D)8.75 yd
E)8.77 yd
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77
Refer to right triangle ABC with <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round each answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   . Solve for all the missing parts using the given information. <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round each answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​   Round each answer to the nearest whole number. ​

A)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round each answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round each answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round each answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round each answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round each answer to the nearest whole number. ​</strong> A)​   B)​   C)​   D)​   E)​
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78
Use a calculator to complete the following table. (Be sure your calculator is in degree mode.)Round all answers to four digits past the decimal point. If you have a graphing calculator with table-building capabilities, use it to construct the tables. Use a calculator to complete the following table. (Be sure your calculator is in degree mode.)Round all answers to four digits past the decimal point. If you have a graphing calculator with table-building capabilities, use it to construct the tables.
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79
Find θ  if θ  is between 0° and 90°. Round your answer to the nearest tenth of a degree. cot  θ = 0.7382 θ =  __________°
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80
Refer to right triangle ABC with <strong>Refer to right triangle ABC with   .   ​ If    and    cm, find b . Round the answer to the nearest hundredth. ​</strong> A)2.12 cm B)2.27 cm C)2.18 cm D)2.21 cm E)2.33 cm . <strong>Refer to right triangle ABC with   .   ​ If    and    cm, find b . Round the answer to the nearest hundredth. ​</strong> A)2.12 cm B)2.27 cm C)2.18 cm D)2.21 cm E)2.33 cm ​ If <strong>Refer to right triangle ABC with   .   ​ If    and    cm, find b . Round the answer to the nearest hundredth. ​</strong> A)2.12 cm B)2.27 cm C)2.18 cm D)2.21 cm E)2.33 cm  and <strong>Refer to right triangle ABC with   .   ​ If    and    cm, find b . Round the answer to the nearest hundredth. ​</strong> A)2.12 cm B)2.27 cm C)2.18 cm D)2.21 cm E)2.33 cm  cm, find b . Round the answer to the nearest hundredth. ​

A)2.12 cm
B)2.27 cm
C)2.18 cm
D)2.21 cm
E)2.33 cm
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