Question 1

Prove the identity.
-tan x + cot x = 2 csc 2x

Accepted Answer

The answer of Prove the identity.
-tan x + cot x...

Question 2

Find the exact value of the product.
-

Accepted Answer

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

Question 3

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

Accepted Answer

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

Question 4

Prove that the equation is an identity.
-

Accepted Answer

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

Question 5

Prove the identity.
-

Accepted Answer

The answer of Prove the identity.
- ...

Question 6

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

Accepted Answer

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

Question 7

For the given function, determine the amplitude and find the phase shift.
-  sin x + 5 cos x Give the phase shift in radians in exact form.

Accepted Answer

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

Question 8

Find the exact value of the sum.
-sin 15° - sin 105°

Accepted Answer

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

Question 9

Prove the identity.
-tan(x + y) + tan(x - y) =

Accepted Answer

Using the

Question 10

Find the exact value of the product.
-cos 15° cos 45°

Accepted Answer

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

Question 11

For the following equation, graph   on the same screen on your calculator. From the graphs, make
a conjecture as to whether the equation is an identity. If so, prove your conjecture.
-

Accepted Answer

The statement is an

Question 12

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

Accepted Answer

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

Question 13

Prove that the equation is an identity.
-

Accepted Answer

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

Question 14

Simplify the expression by using a sum or difference identity.
-cos 83° cos 23° + sin 83° sin 23°

Accepted Answer

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

Question 15

Find the exact value of the product.
-cos   cos

Accepted Answer

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

Question 16

Use trigonometric identities to find the exact value.
-

Accepted Answer

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

Question 17

Use identities to find the exact value of the trigonometric function.
-Find sin   if cot

Accepted Answer

A)    
B)    
C)    
D)  -17 
A)    
B)    
C)    
D)  -17

Question 18

Use identities to simplify the expression.
-

Accepted Answer

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

Question 19

Simplify the expression by using a sum or difference identity.
-cos (-15°) cos 75° + sin (-15°) sin 75°

Accepted Answer

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

Question 20

Multiply and simplify.
-

Accepted Answer

A)    
B)  16 
C)  -16 
D)    
A)    
B)  16 
C)  -16 
D)

Prove the identity. -tan x + cot x = 2 csc 2x

Find the exact value of the product. -

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

Prove that the equation is an identity. -

Prove the identity. -

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

For the given function, determine the amplitude and find the phase shift. - sin x + 5 cos x Give the phase shift in radians in exact form.

Find the exact value of the sum. -sin 15° - sin 105°

Prove the identity. -tan(x + y) + tan(x - y) =

Find the exact value of the product. -cos 15° cos 45°

For the following equation, graph on the same screen on your calculator. From the graphs, make a conjecture as to whether the equation is an identity. If so, prove your conjecture. -

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

Prove that the equation is an identity. -

Simplify the expression by using a sum or difference identity. -cos 83° cos 23° + sin 83° sin 23°

Find the exact value of the product. -cos cos

Use trigonometric identities to find the exact value. -

Use identities to find the exact value of the trigonometric function. -Find sin if cot

Use identities to simplify the expression. -

Simplify the expression by using a sum or difference identity. -cos (-15°) cos 75° + sin (-15°) sin 75°

Multiply and simplify. -

Equations, Inequalities, and Modeling

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Polynomial and Rational Functions

Exponential and Logarithmic Functions

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Basic Algebra Review

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Exam 6: Trigonometric Identities and Conditional Equations

Prove the identity. -tan x + cot x = 2 csc 2x

Find the exact value of the product. -

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

Prove that the equation is an identity. -

Prove the identity. -

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

For the given function, determine the amplitude and find the phase shift. - sin x + 5 cos x Give the phase shift in radians in exact form.

Find the exact value of the sum. -sin 15° - sin 105°

Prove the identity. -tan(x + y) + tan(x - y) =

Find the exact value of the product. -cos 15° cos 45°

For the following equation, graph on the same screen on your calculator. From the graphs, make a conjecture as to whether the equation is an identity. If so, prove your conjecture. -

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

Prove that the equation is an identity. -

Simplify the expression by using a sum or difference identity. -cos 83° cos 23° + sin 83° sin 23°

Find the exact value of the product. -cos cos

Use trigonometric identities to find the exact value. -

Use identities to find the exact value of the trigonometric function. -Find sin if cot

Use identities to simplify the expression. -

Simplify the expression by using a sum or difference identity. -cos (-15°) cos 75° + sin (-15°) sin 75°

Multiply and simplify. -

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