Question 1

Use identities to simplify the expression.
-

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

Find all angles in degrees that satisfy the equation.
-tan x = -1

Accepted Answer

Question 4

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 5

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

Accepted Answer

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

Question 6

Find the exact value of the expression using the provided information.
-Find sin(A - B)   , with A in quadrant I, and sin   , with B in quadrant IV.

Accepted Answer

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

Question 7

Use identities to simplify the expression.
-

Accepted Answer

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

Question 8

Find all real numbers that satisfy the equation.
-tan

Accepted Answer

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

Question 9

Use identities to simplify the expression.
-

Accepted Answer

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

Question 10

Prove that the equation is an identity.
-

Accepted Answer

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

Question 11

Prove the identity.
-

Accepted Answer

The answer of Prove the identity.
- ...

Question 12

Use an appropriate identity to find the exact value of the expression.
-cos (-195°)

Accepted Answer

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

Question 13

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

Accepted Answer

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

Question 14

Find all angles in degrees that satisfy the equation.
-tan x = 1

Accepted Answer

Question 15

Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a
degree.
-3 sin 2x =   cos 2x

Accepted Answer

A)  60°, 150°, 240°, 330° 
B)  75°, 165°, 255°, 345° 
C)  75°, 255° 
D)  60°, 240° 
A)  60°, 150°, 240°, 330° 
B)  75°, 165°, 255°, 345° 
C)  75°, 255° 
D)  60°, 240°

Question 16

Express the given trigonometric function in terms of the indicated function.
-cot   in terms of tan

Accepted Answer

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

Question 17

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.
-cos 2C

Accepted Answer

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

Question 18

Find an equivalent algebraic expression for the given composition.
-cot(arccos(x))

Accepted Answer

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

Question 19

Use trigonometric identities to find the exact value.
-

Accepted Answer

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

Question 20

Use identities to simplify the expression.
-

Accepted Answer

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

Use identities to simplify the expression. -

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

Find all angles in degrees that satisfy the equation. -tan x = -1

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

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

Find the exact value of the expression using the provided information. -Find sin(A - B) , with A in quadrant I, and sin , with B in quadrant IV.

Use identities to simplify the expression. -

Find all real numbers that satisfy the equation. -tan

Use identities to simplify the expression. -

Prove that the equation is an identity. -

Prove the identity. -

Use an appropriate identity to find the exact value of the expression. -cos (-195°)

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

Find all angles in degrees that satisfy the equation. -tan x = 1

Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a degree. -3 sin 2x = cos 2x

Express the given trigonometric function in terms of the indicated function. -cot in terms of tan

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. -cos 2C

Find an equivalent algebraic expression for the given composition. -cot(arccos(x))

Use trigonometric identities to find the exact value. -

Use identities to simplify the expression. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

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Systems of Equations and Inequalities

Matrices and Determinants

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Sequences, Series, and Probability

Basic Algebra Review

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Exam 6: Trigonometric Identities and Conditional Equations

Use identities to simplify the expression. -

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

Find all angles in degrees that satisfy the equation. -tan x = -1

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

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

Find the exact value of the expression using the provided information. -Find sin(A - B) , with A in quadrant I, and sin , with B in quadrant IV.

Use identities to simplify the expression. -

Find all real numbers that satisfy the equation. -tan

Use identities to simplify the expression. -

Prove that the equation is an identity. -

Prove the identity. -

Use an appropriate identity to find the exact value of the expression. -cos (-195°)

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

Find all angles in degrees that satisfy the equation. -tan x = 1

Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a degree. -3 sin 2x = cos 2x

Express the given trigonometric function in terms of the indicated function. -cot in terms of tan

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. -cos 2C

Find an equivalent algebraic expression for the given composition. -cot(arccos(x))

Use trigonometric identities to find the exact value. -

Use identities to 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