Question 1

Use identities to find the exact value of the trigonometric function.
-Find sin   given that sec

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 2

Find the exact value by using a sum or difference identity.
-tan 105°

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 3

Determine whether the positive or negative sign makes the equation correct.
-cos 2

Accepted Answer

A)  Positive sign 
B)  Negative sign 
A)  Positive sign 
B)  Negative sign

Question 4

Factor and, if possible, simplify the expression.
-

Accepted Answer

A)    
B)  1 
C)    
D)  2 
A)    
B)  1 
C)    
D)  2

Question 5

Use identities to find the exact value of the trigonometric function.
-Find csc   if cot

Accepted Answer

A)    
B)  - 4 
C)  4 
D)    
A)    
B)  - 4 
C)  4 
D)

Question 6

Find all real numbers that satisfy the equation.
-2 cos

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 7

Decide whether the expression is or is not an identity.
-

Accepted Answer

A)  Not an identity 
B)  Identity 
A)  Not an identity 
B)  Identity

Question 8

Identify the equation as either an identity or not.
-2 cos 5x sin x = sin 6x + sin 4x

Accepted Answer

A)  Not an identity 
B)  Identity 
A)  Not an identity 
B)  Identity

Question 9

Find all real numbers that satisfy the equation.
-tan

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 10

Find all angles in [0°, 360°) that satisfy the equation.
-tan

Accepted Answer

A)  {225°, 315°} 
B)  {135°, 225°} 
C)  {45°, 225°} 
D)  {45°, 315°} 
A)  {225°, 315°} 
B)  {135°, 225°} 
C)  {45°, 225°} 
D)  {45°, 315°}

Question 11

Factor the trigonometric expression.
-

Accepted Answer

A)  (sin x - 9)(sin x + 7) 
B)    
C)  (sin x - 63)(sin x + 1) 
D)  (sin x + 9)(sin x - 7) 
A)  (sin x - 9)(sin x + 7) 
B)    
C)  (sin x - 63)(sin x + 1) 
D)  (sin x + 9)(sin x - 7)

Question 12

Find the exact value by using a half-angle identity.
-sin 75°

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 13

Find the exact value using a double-angle identity.
-sin

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 14

Find the exact value by using a half-angle identity.
-cos

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 15

Write the expression in terms of sines and/or cosines, and then simplify.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

Determine whether the positive or negative sign makes the equation correct.
-sin

Accepted Answer

A)  Positive sign 
B)  Negative sign 
A)  Positive sign 
B)  Negative sign

Question 17

Prove the identity.
-

Accepted Answer

The answer of Prove the identity.
- ...

Question 18

Find the exact value using a double-angle identity.
-sin(60°)

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 19

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-Discuss the methods used to verify an identity and why you would choose a particular method.

Accepted Answer

There are several methods used to verify

Question 20

Determine whether the function is odd, even, or neither.
-f(x) = x + sec x

Accepted Answer

A)  Even 
B)  Neither 
C)  Odd 
A)  Even 
B)  Neither 
C)  Odd

Use identities to find the exact value of the trigonometric function. -Find sin given that sec

Find the exact value by using a sum or difference identity. -tan 105°

Determine whether the positive or negative sign makes the equation correct. -cos 2

Factor and, if possible, simplify the expression. -

Use identities to find the exact value of the trigonometric function. -Find csc if cot

Find all real numbers that satisfy the equation. -2 cos

Decide whether the expression is or is not an identity. -

Identify the equation as either an identity or not. -2 cos 5x sin x = sin 6x + sin 4x

Find all real numbers that satisfy the equation. -tan

Find all angles in [0°, 360°) that satisfy the equation. -tan

Factor the trigonometric expression. -

Find the exact value by using a half-angle identity. -sin 75°

Find the exact value using a double-angle identity. -sin

Find the exact value by using a half-angle identity. -cos

Write the expression in terms of sines and/or cosines, and then simplify. -

Determine whether the positive or negative sign makes the equation correct. -sin

Prove the identity. -

Find the exact value using a double-angle identity. -sin(60°)

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Discuss the methods used to verify an identity and why you would choose a particular method.

Determine whether the function is odd, even, or neither. -f(x) = x + sec x

Equations, Inequalities, and Modeling

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Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Applications of Trigonometry

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The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

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Exam 6: Trigonometric Identities and Conditional Equations

Use identities to find the exact value of the trigonometric function. -Find sin given that sec

Find the exact value by using a sum or difference identity. -tan 105°

Determine whether the positive or negative sign makes the equation correct. -cos 2

Factor and, if possible, simplify the expression. -

Use identities to find the exact value of the trigonometric function. -Find csc if cot

Find all real numbers that satisfy the equation. -2 cos

Decide whether the expression is or is not an identity. -

Identify the equation as either an identity or not. -2 cos 5x sin x = sin 6x + sin 4x

Find all real numbers that satisfy the equation. -tan

Find all angles in [0°, 360°) that satisfy the equation. -tan

Factor the trigonometric expression. -

Find the exact value by using a half-angle identity. -sin 75°

Find the exact value using a double-angle identity. -sin

Find the exact value by using a half-angle identity. -cos

Write the expression in terms of sines and/or cosines, and then simplify. -

Determine whether the positive or negative sign makes the equation correct. -sin

Prove the identity. -

Find the exact value using a double-angle identity. -sin(60°)

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Discuss the methods used to verify an identity and why you would choose a particular method.

Determine whether the function is odd, even, or neither. -f(x) = x + sec x

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters