Question 1

Use identities to simplify the expression.
-

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

Find the product.
-(2 cot y - 10)(cot y - 4)

Accepted Answer

A)    - 19 cot y + 40 
B)    - 18 cot y + 40 
C)    - 18 cot y + 40 
D)    + 40 
A)    - 19 cot y + 40 
B)    - 18 cot y + 40 
C)    - 18 cot y + 40 
D)    + 40

Question 4

Find all angles in [0°, 360°) that satisfy the equation.
-sin

Accepted Answer

A)  {150°, 210°} 
B)  {60°, 300°} 
C)  {210°, 330°} 
D)  {60°, 120°} 
A)  {150°, 210°} 
B)  {60°, 300°} 
C)  {210°, 330°} 
D)  {60°, 120°}

Question 5

Write the expression in terms of sines and/or cosines, and then simplify.
-

Accepted Answer

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

Question 6

Use a sum-to-product identity to rewrite the expression.
-sin   - sin

Accepted Answer

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

Question 7

Solve the problem.
-A block is attached to a spring and set into motion. For this block and spring, the location on the surface at any time t seconds is given in meters by x =   sin t + cos t. Find the maximum distance reached by the block from
The resting position.

Accepted Answer

A)  6 m 
B)    
C)    
D)  12 m 
A)  6 m 
B)    
C)    
D)  12 m

Question 8

Complete the equation so the result is an identity.
-

Accepted Answer

A)  tan x sin x 
B)  cot x csc x 
C)    
D)  -tan x sin x 
A)  tan x sin x 
B)  cot x csc x 
C)    
D)  -tan x sin x

Question 9

Use identities to simplify the expression.
-sin x cos x sec x csc x

Accepted Answer

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

Question 10

Find the exact value of the sum.
-cos   - cos

Accepted Answer

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

Question 11

Use identities to find the exact value of the trigonometric function.
-Find tan   if sec

Accepted Answer

A)  5 
B)    
C)    
D)  -5 
A)  5 
B)    
C)    
D)  -5

Question 12

Write in terms of the cofunction of a complementary angle.
-sec 39°

Accepted Answer

A)  csc 141° 
B)  cos 129° 
C)  csc 51° 
D)  cos 51° 
A)  csc 141° 
B)  cos 129° 
C)  csc 51° 
D)  cos 51°

Question 13

Write in terms of the cofunction of a complementary angle.
-

Accepted Answer

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

Question 14

Simplify the expression.
-

Accepted Answer

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

Question 15

Identify the equation as either an identity or not.
-

Accepted Answer

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

Question 16

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

Accepted Answer

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

Question 17

Find all real numbers in the interval   that satisfy the equation.
-  - 4 csc x = 0

Accepted Answer

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

Question 18

Use an identity to write the expression as a single trigonometric function or as a single number.
-csc 4°(1 - cos 4°)

Accepted Answer

A)  cos 8° 
B)  sin 2° 
C)  tan 2° 
D)  tan 8° 
A)  cos 8° 
B)  sin 2° 
C)  tan 2° 
D)  tan 8°

Question 19

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

Accepted Answer

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

Question 20

Find all real numbers in the interval   that satisfy the equation.
-s

Accepted Answer

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

Use identities to simplify the expression. -

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

Find the product. -(2 cot y - 10)(cot y - 4)

Find all angles in [0°, 360°) that satisfy the equation. -sin

Write the expression in terms of sines and/or cosines, and then simplify. -

Use a sum-to-product identity to rewrite the expression. -sin - sin

Solve the problem. -A block is attached to a spring and set into motion. For this block and spring, the location on the surface at any time t seconds is given in meters by x = sin t + cos t. Find the maximum distance reached by the block from The resting position.

Complete the equation so the result is an identity. -

Use identities to simplify the expression. -sin x cos x sec x csc x

Find the exact value of the sum. -cos - cos

Use identities to find the exact value of the trigonometric function. -Find tan if sec

Write in terms of the cofunction of a complementary angle. -sec 39°

Write in terms of the cofunction of a complementary angle. -

Simplify the expression. -

Identify the equation as either an identity or not. -

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

Find all real numbers in the interval that satisfy the equation. - - 4 csc x = 0

Use an identity to write the expression as a single trigonometric function or as a single number. -csc 4°(1 - cos 4°)

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

Find all real numbers in the interval that satisfy the equation. -s

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Exam 6: Trigonometric Identities and Conditional Equations

Use identities to simplify the expression. -

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

Find the product. -(2 cot y - 10)(cot y - 4)

Find all angles in [0°, 360°) that satisfy the equation. -sin

Write the expression in terms of sines and/or cosines, and then simplify. -

Use a sum-to-product identity to rewrite the expression. -sin - sin

Solve the problem. -A block is attached to a spring and set into motion. For this block and spring, the location on the surface at any time t seconds is given in meters by x = sin t + cos t. Find the maximum distance reached by the block from The resting position.

Complete the equation so the result is an identity. -

Use identities to simplify the expression. -sin x cos x sec x csc x

Find the exact value of the sum. -cos - cos

Use identities to find the exact value of the trigonometric function. -Find tan if sec

Write in terms of the cofunction of a complementary angle. -sec 39°

Write in terms of the cofunction of a complementary angle. -

Simplify the expression. -

Identify the equation as either an identity or not. -

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

Find all real numbers in the interval that satisfy the equation. - - 4 csc x = 0

Use an identity to write the expression as a single trigonometric function or as a single number. -csc 4°(1 - cos 4°)

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

Find all real numbers in the interval that satisfy the equation. -s

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