Question 1

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

Accepted Answer

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

Question 2

Factor the trigonometric expression.
-

Accepted Answer

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

Question 3

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 4

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

Accepted Answer

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

Question 5

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

Accepted Answer

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

Question 6

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 7

Use identities to simplify the expression.
-

Accepted Answer

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

Question 8

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

Accepted Answer

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

Question 9

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

Accepted Answer

A)  330° 
B)  150° 
C)  300° 
D)  120° 
A)  330° 
B)  150° 
C)  300° 
D)  120°

Question 10

Use identities to simplify the expression.
-

Accepted Answer

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

Question 11

Use identities to find the exact value of the trigonometric function.
-Find tan   if cos

Accepted Answer

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

Question 12

Choose the equivalent expression for the given expression.
-

Accepted Answer

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

Question 13

Identify the equation as either an identity or not.
-  = cot 2x cot x

Accepted Answer

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

Question 14

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 15

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 16

Complete the equation so the result is an identity.
-

Accepted Answer

A)  sin x 
B)  tan x 
C)  csc x 
D)  sec x 
A)  sin x 
B)  tan x 
C)  csc x 
D)  sec x

Question 17

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

Accepted Answer

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

Question 18

Choose the expression with exactly the same value as the given expression.
-sin(-55°)

Accepted Answer

A)  sin(55°) 
B)  cos(35°) 
C)  cos(-35°) 
D)  -cos(35°) 
A)  sin(55°) 
B)  cos(35°) 
C)  cos(-35°) 
D)  -cos(35°)

Question 19

Find all angles in degrees that satisfy the equation. Round approximate answers to the nearest tenth of a degree.
-sin   = 0.254

Accepted Answer

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

Question 20

Find the exact value of the sum.
-sin   + sin

Accepted Answer

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

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

Factor the trigonometric expression. -

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

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

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

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

Use identities to simplify the expression. -

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

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

Use identities to simplify the expression. -

Use identities to find the exact value of the trigonometric function. -Find tan if cos

Choose the equivalent expression for the given expression. -

Identify the equation as either an identity or not. - = cot 2x cot x

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

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

Complete the equation so the result is an identity. -

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

Choose the expression with exactly the same value as the given expression. -sin(-55°)

Find all angles in degrees that satisfy the equation. Round approximate answers to the nearest tenth of a degree. -sin = 0.254

Find the exact value of the sum. -sin + sin

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

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Exam 6: Trigonometric Identities and Conditional Equations

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

Factor the trigonometric expression. -

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

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

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

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

Use identities to simplify the expression. -

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

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

Use identities to simplify the expression. -

Use identities to find the exact value of the trigonometric function. -Find tan if cos

Choose the equivalent expression for the given expression. -

Identify the equation as either an identity or not. - = cot 2x cot x

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

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

Complete the equation so the result is an identity. -

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

Choose the expression with exactly the same value as the given expression. -sin(-55°)

Find all angles in degrees that satisfy the equation. Round approximate answers to the nearest tenth of a degree. -sin = 0.254

Find the exact value of the sum. -sin + sin

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