Question 1

Use the appropriate sum or difference identity to write the given expression as a function of x alone.
-cos

Accepted Answer

A)  cos x 
B)  sin x 
C)  -cos x 
D)  -sin x 
A)  cos x 
B)  sin x 
C)  -cos x 
D)  -sin x

Question 2

Use the appropriate sum or difference identity to write the given expression as a function of x alone.
-tan

Accepted Answer

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

Question 3

Find the exact value of the product.
-cos 225° cos 45°

Accepted Answer

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

Question 4

Multiply and simplify.
-(cos   - 1)(cos   + 1)

Accepted Answer

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

Question 5

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-A problem is given: "Find cos s if sec s = -   ." Why is it not necessary to give the quadrant of s in order to solve
the problem?

Accepted Answer

Because co

Question 6

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-When does cot x =

Accepted Answer

The answer of Write the word or phrase that best...

Question 7

Find the exact value by using a sum or difference identity.
-tan (-165°)

Accepted Answer

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

Question 8

Find all real numbers in the interval   that satisfy the equation.
-sin 2x + sin x = 0

Accepted Answer

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

Question 9

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

Accepted Answer

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

Question 10

Find the exact value by using a half-angle identity.
-cos 165°

Accepted Answer

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

Question 11

Find the exact value, given that sin A = -4/5 with A in quadrant IV, tan B = 7/24 with B in quadrant III, and cos C = - 5/13
with C in quadrant II.
-tan 2B

Accepted Answer

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

Question 12

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

Accepted Answer

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

Question 13

Complete the equation so the result is an identity.
-

Accepted Answer

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

Question 14

Prove the identity.
-

Accepted Answer

The answer of Prove the identity.
- ...

Question 15

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 16

Identify the equation as either an identity or not.
-s

Accepted Answer

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

Question 17

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

Accepted Answer

A)  cot 5° 
B)  tan 5° 
C)  sin 5° 
D)  cos 5° 
A)  cot 5° 
B)  tan 5° 
C)  sin 5° 
D)  cos 5°

Question 18

Simplify the expression by using a sum or difference identity.
-cos 19° cos 26° - sin 19° sin 26°

Accepted Answer

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

Question 19

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

Accepted Answer

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

Question 20

Factor and, if possible, simplify the expression.
-

Accepted Answer

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

Use the appropriate sum or difference identity to write the given expression as a function of x alone. -cos

Use the appropriate sum or difference identity to write the given expression as a function of x alone. -tan

Find the exact value of the product. -cos 225° cos 45°

Multiply and simplify. -(cos - 1)(cos + 1)

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -A problem is given: "Find cos s if sec s = - ." Why is it not necessary to give the quadrant of s in order to solve the problem?

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -When does cot x =

Find the exact value by using a sum or difference identity. -tan (-165°)

Find all real numbers in the interval that satisfy the equation. -sin 2x + sin x = 0

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

Find the exact value by using a half-angle identity. -cos 165°

Find the exact value, given that sin A = -4/5 with A in quadrant IV, tan B = 7/24 with B in quadrant III, and cos C = - 5/13 with C in quadrant II. -tan 2B

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

Complete the equation so the result is an identity. -

Prove the identity. -

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

Identify the equation as either an identity or not. -s

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

Simplify the expression by using a sum or difference identity. -cos 19° cos 26° - sin 19° sin 26°

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

Factor and, if possible, simplify the expression. -

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Exam 6: Trigonometric Identities and Conditional Equations

Use the appropriate sum or difference identity to write the given expression as a function of x alone. -cos

Use the appropriate sum or difference identity to write the given expression as a function of x alone. -tan

Find the exact value of the product. -cos 225° cos 45°

Multiply and simplify. -(cos - 1)(cos + 1)

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -A problem is given: "Find cos s if sec s = - ." Why is it not necessary to give the quadrant of s in order to solve the problem?

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -When does cot x =

Find the exact value by using a sum or difference identity. -tan (-165°)

Find all real numbers in the interval that satisfy the equation. -sin 2x + sin x = 0

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

Find the exact value by using a half-angle identity. -cos 165°

Find the exact value, given that sin A = -4/5 with A in quadrant IV, tan B = 7/24 with B in quadrant III, and cos C = - 5/13 with C in quadrant II. -tan 2B

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

Complete the equation so the result is an identity. -

Prove the identity. -

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

Identify the equation as either an identity or not. -s

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

Simplify the expression by using a sum or difference identity. -cos 19° cos 26° - sin 19° sin 26°

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

Factor and, if possible, simplify the expression. -

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