Question 1

Find the product.
-

Accepted Answer

A)    + 4 
B)    - 16 tan y - 4 
C)    - 8 tan y + 4 
D)    16 tan y + 4 
A)    + 4 
B)    - 16 tan y - 4 
C)    - 8 tan y + 4 
D)    16 tan y + 4

Question 2

Prove the identity.
-  = - cot y sin y

Accepted Answer

The answer of Prove the identity.
-  = - cot...

Question 3

Use identities to find the exact value of the trigonometric function.
-Find cot   if sec   and   is in quadrant IV.

Accepted Answer

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

Question 4

Find the product.
-

Accepted Answer

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

Question 5

Find all real numbers that satisfy the equation.
-tan   = 1

Accepted Answer

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

Question 6

Use a sum or difference identity to find the exact value.
-sin

Accepted Answer

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

Question 7

Find the product.
-(

Accepted Answer

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

Question 8

Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a
degree.
-sin x = 4 cos x

Accepted Answer

A)  { 76.0°, 284.0°} 
B)  { 14.0°, 194.0°} 
C)  { 14.0°, 346.0°} 
D)  { 76.0°, 256.0°} 
A)  { 76.0°, 284.0°} 
B)  { 14.0°, 194.0°} 
C)  { 14.0°, 346.0°} 
D)  { 76.0°, 256.0°}

Question 9

Prove that the equation is an identity.
-

Accepted Answer

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

Question 10

Prove the identity.
-

Accepted Answer

The answer of Prove the identity.
- ...

Question 11

Find all real numbers in the interval   that satisfy the equation.
-5 + 2 sin x = 8   Round any approximations to the nearest tenth of a radian.

Accepted Answer

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

Question 12

Complete the equation so the result is an identity.
-tan x csc x =

Accepted Answer

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

Question 13

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

Accepted Answer

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

Question 14

Identify the equation as either an identity or not.
-

Accepted Answer

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

Question 15

Find all real numbers that satisfy the equation.
-tan

Accepted Answer

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

Question 16

Identify the equation as either an identity or not.
-c   = cos (x + y) cos (x - y)

Accepted Answer

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

Question 17

Find the exact value by using a half-angle identity.
-sin 15°

Accepted Answer

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

Question 18

Find the exact value by using a sum or difference identity.
-tan(-15°)

Accepted Answer

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

Question 19

Factor and, if possible, simplify the expression.
-

Accepted Answer

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

Question 20

Find the product.
-

Accepted Answer

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

Find the product. -

Prove the identity. - = - cot y sin y

Use identities to find the exact value of the trigonometric function. -Find cot if sec and is in quadrant IV.

Find the product. -

Find all real numbers that satisfy the equation. -tan = 1

Use a sum or difference identity to find the exact value. -sin

Find the product. -(

Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a degree. -sin x = 4 cos x

Prove that the equation is an identity. -

Prove the identity. -

Find all real numbers in the interval that satisfy the equation. -5 + 2 sin x = 8 Round any approximations to the nearest tenth of a radian.

Complete the equation so the result is an identity. -tan x csc x =

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

Identify the equation as either an identity or not. -

Find all real numbers that satisfy the equation. -tan

Identify the equation as either an identity or not. -c = cos (x + y) cos (x - y)

Find the exact value by using a half-angle identity. -sin 15°

Find the exact value by using a sum or difference identity. -tan(-15°)

Factor and, if possible, simplify the expression. -

Find the product. -

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Exam 6: Trigonometric Identities and Conditional Equations

Find the product. -

Prove the identity. - = - cot y sin y

Use identities to find the exact value of the trigonometric function. -Find cot if sec and is in quadrant IV.

Find the product. -

Find all real numbers that satisfy the equation. -tan = 1

Use a sum or difference identity to find the exact value. -sin

Find the product. -(

Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a degree. -sin x = 4 cos x

Prove that the equation is an identity. -

Prove the identity. -

Find all real numbers in the interval that satisfy the equation. -5 + 2 sin x = 8 Round any approximations to the nearest tenth of a radian.

Complete the equation so the result is an identity. -tan x csc x =

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

Identify the equation as either an identity or not. -

Find all real numbers that satisfy the equation. -tan

Identify the equation as either an identity or not. -c = cos (x + y) cos (x - y)

Find the exact value by using a half-angle identity. -sin 15°

Find the exact value by using a sum or difference identity. -tan(-15°)

Factor and, if possible, simplify the expression. -

Find the product. -

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