Question 1

Complete the equation so the result is an identity.
-

Accepted Answer

A)  cos x + 1 
B)  sin x + 1 
C)  csc x + 1 
D)  sec x + 1 
A)  cos x + 1 
B)  sin x + 1 
C)  csc x + 1 
D)  sec x + 1

Question 2

For the given function, determine the amplitude and find the phase shift.
--4 sin x   cos x Give the phase shift in radians in exact form.

Accepted Answer

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

Question 3

Prove the identity.
-sin (A +
B) + sin (A -
B) = 2 sin A cos B

Accepted Answer

sin (A + B) + sin (A - B) = (s

Question 4

Express the given trigonometric function in terms of the indicated function.
-sin   in terms of csc

Accepted Answer

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

Question 5

Use odd and even identities to simplify the expression.
-csc x - csc (-x)

Accepted Answer

A)  2 csc x 
B)  0 
C)  -2 csc x 
D)  - csc x 
A)  2 csc x 
B)  0 
C)  -2 csc x 
D)  - csc x

Question 6

Use an identity to write the expression as a single trigonometric function or as a single number.
-2 sin 6° cos 6°

Accepted Answer

A)  sin 12° 
B)  cos 12° 
C)    
D)  sin 3° 
A)  sin 12° 
B)  cos 12° 
C)    
D)  sin 3°

Question 7

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Prove that the equation is an identity.
-  = cot(19k) tan (7k)

Accepted Answer

The answer of SHORT ANSWER. Write the word or phrase...

Question 8

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 9

Multiply and simplify.
-

Accepted Answer

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

Question 10

Simplify the expression.
-

Accepted Answer

A)  17 tan x 
B)    
C)    
D)    
A)  17 tan x 
B)    
C)    
D)

Question 11

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

Accepted Answer

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

Question 12

Prove that the equation is an identity.
-

Accepted Answer

The answer of Prove that the equation is an identity.
-...

Question 13

Use identities to simplify the expression.
-cos x - cos x   x

Accepted Answer

A)    
B)    
C)    
D)  sin x 
A)    
B)    
C)    
D)  sin x

Question 14

Prove that the equation is an identity.
-

Accepted Answer

The answer of Prove that the equation is an identity.
-...

Question 15

Simplify the expression.
-

Accepted Answer

A)  tan x sec x 
B)  tan x - sec x 
C)  sec x - tan x 
D)  tan x + sec x 
A)  tan x sec x 
B)  tan x - sec x 
C)  sec x - tan x 
D)  tan x + sec x

Question 16

Prove that the equation is an identity.
-

Accepted Answer

The answer of Prove that the equation is an identity.
-...

Question 17

Use trigonometric identities to find the exact value.
-

Accepted Answer

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

Question 18

Find the exact value of the expression using the provided information.
-Find sin(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 19

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

Accepted Answer

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

Question 20

Express the given trigonometric function in terms of the indicated function.
-csc   in terms of tan

Accepted Answer

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

Complete the equation so the result is an identity. -

For the given function, determine the amplitude and find the phase shift. --4 sin x cos x Give the phase shift in radians in exact form.

Prove the identity. -sin (A + B) + sin (A - B) = 2 sin A cos B

Express the given trigonometric function in terms of the indicated function. -sin in terms of csc

Use odd and even identities to simplify the expression. -csc x - csc (-x)

Use an identity to write the expression as a single trigonometric function or as a single number. -2 sin 6° cos 6°

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Prove that the equation is an identity. - = cot(19k) tan (7k)

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

Multiply and simplify. -

Simplify the expression. -

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

Prove that the equation is an identity. -

Use identities to simplify the expression. -cos x - cos x x

Prove that the equation is an identity. -

Simplify the expression. -

Prove that the equation is an identity. -

Use trigonometric identities to find the exact value. -

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

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

Express the given trigonometric function in terms of the indicated function. -csc in terms of tan

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

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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

Complete the equation so the result is an identity. -

For the given function, determine the amplitude and find the phase shift. --4 sin x cos x Give the phase shift in radians in exact form.

Prove the identity. -sin (A + B) + sin (A - B) = 2 sin A cos B

Express the given trigonometric function in terms of the indicated function. -sin in terms of csc

Use odd and even identities to simplify the expression. -csc x - csc (-x)

Use an identity to write the expression as a single trigonometric function or as a single number. -2 sin 6° cos 6°

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Prove that the equation is an identity. - = cot(19k) tan (7k)

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

Multiply and simplify. -

Simplify the expression. -

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

Prove that the equation is an identity. -

Use identities to simplify the expression. -cos x - cos x x

Prove that the equation is an identity. -

Simplify the expression. -

Prove that the equation is an identity. -

Use trigonometric identities to find the exact value. -

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

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

Express the given trigonometric function in terms of the indicated function. -csc in terms of tan

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