Question 1

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

Accepted Answer

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

Question 2

Find the exact value by using a sum or difference identity.
-tan 345°

Accepted Answer

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

Question 3

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

Accepted Answer

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

Question 4

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

Accepted Answer

A)    
B)  0 
C)  -1 
D)  1 
A)    
B)  0 
C)  -1 
D)  1

Question 5

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

Accepted Answer

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

Question 6

Write the expression in terms of sines and/or cosines, and then simplify.
-tan xsec x + 1 (sin x - 1)

Accepted Answer

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

Question 7

Find the exact value of the product.
-sin   cos

Accepted Answer

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

Question 8

Prove that the equation is an identity.
-

Accepted Answer

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

Question 9

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

Accepted Answer

A)  cos 24° 
B)  sin 6° 
C)  cos 6° 
D)  2 sin 24° 
A)  cos 24° 
B)  sin 6° 
C)  cos 6° 
D)  2 sin 24°

Question 10

Prove the identity.
-cos

Accepted Answer

The answer of Prove the identity.
-cos  ...

Question 11

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 12

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

Accepted Answer

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

Question 13

Prove that the equation is an identity.
-

Accepted Answer

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

Question 14

Factor the trigonometric expression.
-  x sin x + 4 tan x sin x - 32 sin x

Accepted Answer

A)  (tan x sin x + 8)(tan x - 4) 
B)  (sin x)(tan x - 8)(tan x + 4) 
C)  (tan x sin x - 32)(tan x + sin x) 
D)  (sin x)(tan x + 8)(tan x - 4) 
A)  (tan x sin x + 8)(tan x - 4) 
B)  (sin x)(tan x - 8)(tan x + 4) 
C)  (tan x sin x - 32)(tan x + sin x) 
D)  (sin x)(tan x + 8)(tan x - 4)

Question 15

Factor and, if possible, simplify the expression.
-

Accepted Answer

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

Question 16

Use a sum-to-product identity to rewrite the expression.
-cos 8s - cos 5s

Accepted Answer

A)  2 cos(6.5s) cos(1.5s) 
B)  2 sin(6.5s) cos(1.5s) 
C)  -2 cos(6.5s) sin(1.5s) 
D)  -2 sin(6.5s) sin(1.5s) 
A)  2 cos(6.5s) cos(1.5s) 
B)  2 sin(6.5s) cos(1.5s) 
C)  -2 cos(6.5s) sin(1.5s) 
D)  -2 sin(6.5s) sin(1.5s)

Question 17

Choose the expression which is equivalent to the given expression.
-

Accepted Answer

A)    
B)    
C)  tan 11° 
D)  cot 11° 
A)    
B)    
C)  tan 11° 
D)  cot 11°

Question 18

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

Accepted Answer

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

Question 19

Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a
degree.
-  + cos x - 1 = 0

Accepted Answer

A)  {49.8°, 130.2°, 229.8°, 310.2°} 
B)  {70.5°, 109.5°, 180°} 
C)  {51.8°, 308.2°} 
D)  {103.2°, 145.2°, 283.2°, 325.2°} 
A)  {49.8°, 130.2°, 229.8°, 310.2°} 
B)  {70.5°, 109.5°, 180°} 
C)  {51.8°, 308.2°} 
D)  {103.2°, 145.2°, 283.2°, 325.2°}

Question 20

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

Accepted Answer

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

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

Find the exact value by using a sum or difference identity. -tan 345°

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

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

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

Write the expression in terms of sines and/or cosines, and then simplify. -tan xsec x + 1 (sin x - 1)

Find the exact value of the product. -sin cos

Prove that the equation is an identity. -

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

Prove the identity. -cos

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

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

Prove that the equation is an identity. -

Factor the trigonometric expression. - x sin x + 4 tan x sin x - 32 sin x

Factor and, if possible, simplify the expression. -

Use a sum-to-product identity to rewrite the expression. -cos 8s - cos 5s

Choose the expression which is equivalent to the given expression. -

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

Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a degree. - + cos x - 1 = 0

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

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Exam 6: Trigonometric Identities and Conditional Equations

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

Find the exact value by using a sum or difference identity. -tan 345°

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

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

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

Write the expression in terms of sines and/or cosines, and then simplify. -tan xsec x + 1 (sin x - 1)

Find the exact value of the product. -sin cos

Prove that the equation is an identity. -

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

Prove the identity. -cos

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

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

Prove that the equation is an identity. -

Factor the trigonometric expression. - x sin x + 4 tan x sin x - 32 sin x

Factor and, if possible, simplify the expression. -

Use a sum-to-product identity to rewrite the expression. -cos 8s - cos 5s

Choose the expression which is equivalent to the given expression. -

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

Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a degree. - + cos x - 1 = 0

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