Question 1

Identify the equation as either an identity or not.
-sin (A + B) + sin (A - B) = 2 sin A cos B

Accepted Answer

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

Question 2

Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a
degree.
-c   2x -   2x = 0

Accepted Answer

A)  {0°, 180°} 
B)  {0°, 90°, 180°, 270°} 
C)  {45°, 135°, 225°, 315°} 
D)  {0°, 45°, 90°, 135°, 180°, 225°, 270°, 315°} 
A)  {0°, 180°} 
B)  {0°, 90°, 180°, 270°} 
C)  {45°, 135°, 225°, 315°} 
D)  {0°, 45°, 90°, 135°, 180°, 225°, 270°, 315°}

Question 3

Use trigonometric identities to find the exact value.
-  1

Accepted Answer

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

Question 4

Simplify the expression by using a sum or difference identity.
-

Accepted Answer

A)    
B)  - 1 
C)    
D)    
A)    
B)  - 1 
C)    
D)

Question 5

Use an identity to write the expression as a single trigonometric function or as a single number.
-

Accepted Answer

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

Question 6

Rewrite the expression in the form A sin(x + C).
-3 sin x - 3 cos x

Accepted Answer

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

Question 7

Prove the identity.
-  = -sin x.

Accepted Answer

Using the

Question 8

Find all real numbers that satisfy the equation.
-sin

Accepted Answer

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

Question 9

Find all real numbers in the interval   that satisfy the equation.
-  - 3 sec x = 0

Accepted Answer

A)    
B)    
C)  No solution 
D)    
A)    
B)    
C)  No solution 
D)

Question 10

Find the exact value of the expression using the provided information.
-Find tan(A + B)   , with A in quadrant I, and sin   , with B in quadrant IV.

Accepted Answer

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

Question 11

Identify the equation as either an identity or not.
-

Accepted Answer

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

Question 12

Show that the equation is not an identity by listing the value(s) of the variable from among   for which
the equation is false.
-

Accepted Answer

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

Question 13

Simplify the expression by using a sum or difference identity.
-sin(12m) cos (3m) - cos(12m) sin (3m)

Accepted Answer

A)  cos(15m) 
B)  sin(9m) 
C)  cos(9m) 
D)  sin(15m) 
A)  cos(15m) 
B)  sin(9m) 
C)  cos(9m) 
D)  sin(15m)

Question 14

Use a half-angle identity to find an exact value for the following, given the information about x.
-Find sin   , given that sin x =   and x terminates in

Accepted Answer

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

Question 15

Find all real numbers that satisfy the equation.
-tan x = - 1

Accepted Answer

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

Question 16

Find the product.
-

Accepted Answer

A)    - 12 cot x +   
B)    
C)    12 
D)    
A)    - 12 cot x +   
B)    
C)    12 
D)

Question 17

Identify the equation as either an identity or not.
-tan   = -cot A

Accepted Answer

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

Question 18

Find the exact value of the expression using the provided information.
-Find cos(A - B)   , with A in quadrant I, and sin   , with B in quadrant IV.

Accepted Answer

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

Question 19

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

Accepted Answer

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

Question 20

Find all real numbers that satisfy the equation.
-cos

Accepted Answer

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

Identify the equation as either an identity or not. -sin (A + B) + sin (A - B) = 2 sin A cos B

Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a degree. -c 2x - 2x = 0

Use trigonometric identities to find the exact value. - 1

Simplify the expression by using a sum or difference identity. -

Use an identity to write the expression as a single trigonometric function or as a single number. -

Rewrite the expression in the form A sin(x + C). -3 sin x - 3 cos x

Prove the identity. - = -sin x.

Find all real numbers that satisfy the equation. -sin

Find all real numbers in the interval that satisfy the equation. - - 3 sec x = 0

Find the exact value of the expression using the provided information. -Find tan(A + B) , with A in quadrant I, and sin , with B in quadrant IV.

Identify the equation as either an identity or not. -

Show that the equation is not an identity by listing the value(s) of the variable from among for which the equation is false. -

Simplify the expression by using a sum or difference identity. -sin(12m) cos (3m) - cos(12m) sin (3m)

Use a half-angle identity to find an exact value for the following, given the information about x. -Find sin , given that sin x = and x terminates in

Find all real numbers that satisfy the equation. -tan x = - 1

Find the product. -

Identify the equation as either an identity or not. -tan = -cot A

Find the exact value of the expression using the provided information. -Find cos(A - B) , with A in quadrant I, and sin , with B in quadrant IV.

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

Find all real numbers that satisfy the equation. -cos

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Exam 6: Trigonometric Identities and Conditional Equations

Identify the equation as either an identity or not. -sin (A + B) + sin (A - B) = 2 sin A cos B

Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a degree. -c 2x - 2x = 0

Use trigonometric identities to find the exact value. - 1

Simplify the expression by using a sum or difference identity. -

Use an identity to write the expression as a single trigonometric function or as a single number. -

Rewrite the expression in the form A sin(x + C). -3 sin x - 3 cos x

Prove the identity. - = -sin x.

Find all real numbers that satisfy the equation. -sin

Find all real numbers in the interval that satisfy the equation. - - 3 sec x = 0

Find the exact value of the expression using the provided information. -Find tan(A + B) , with A in quadrant I, and sin , with B in quadrant IV.

Identify the equation as either an identity or not. -

Show that the equation is not an identity by listing the value(s) of the variable from among for which the equation is false. -

Simplify the expression by using a sum or difference identity. -sin(12m) cos (3m) - cos(12m) sin (3m)

Use a half-angle identity to find an exact value for the following, given the information about x. -Find sin , given that sin x = and x terminates in

Find all real numbers that satisfy the equation. -tan x = - 1

Find the product. -

Identify the equation as either an identity or not. -tan = -cot A

Find the exact value of the expression using the provided information. -Find cos(A - B) , with A in quadrant I, and sin , with B in quadrant IV.

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

Find all real numbers that satisfy the equation. -cos

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