Question 1

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

Accepted Answer

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

Question 2

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Prove that the equation is an identity.
-

Accepted Answer

The answer of SHORT ANSWER. Write the word or phrase...

Question 3

Use a half-angle identity to find an exact value for the following, given the information about x.
-Find cos   , given that sin   and 360° < x < 450°.

Accepted Answer

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

Question 4

Find all real numbers that satisfy the equation.
-2 cos

Accepted Answer

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

Question 5

For the given function, determine the amplitude and find the phase shift.
-6 sin x -   cos x Give the phase shift in radians in exact form.

Accepted Answer

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

Question 6

Find all real numbers in the interval   that satisfy the equation.
-2   = sin x

Accepted Answer

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

Question 7

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

Accepted Answer

A)  0 
B)    
C)    
D)    
A)  0 
B)    
C)    
D)

Question 8

Graph the function by first writing it in the form y = A sin(x + C). State the amplitude, period, and phase shift.
-y = 3 sin x + 3 cos x

Accepted Answer

A)    phase shift     
B)    period 2   phase shift     
C)    period 2   ,phase shift     
D)    ,phase shift     
A)    phase shift     
B)    period 2   phase shift     
C)    period 2   ,phase shift     
D)    ,phase shift

Question 9

Prove that the equation is an identity.
-

Accepted Answer

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

Question 10

Simplify the expression by using a sum or difference identity.
-cos(14k) cos (2k) - sin(14k) sin (2k)

Accepted Answer

A)  sin(16k) 
B)  cos(12k) 
C)  sin(12k) 
D)  cos(16k) 
A)  sin(16k) 
B)  cos(12k) 
C)  sin(12k) 
D)  cos(16k)

Question 11

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

Accepted Answer

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

Question 12

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

Accepted Answer

A)  {30°, 90°, 150°, 210°, 270°, 330°} 
B)  {0°, 60°, 120°, 180°, 240°, 300°} 
C)  {60°, 90°, 120°, 240°, 270°, 300°} 
D)  {60°, 90°, 120°} 
A)  {30°, 90°, 150°, 210°, 270°, 330°} 
B)  {0°, 60°, 120°, 180°, 240°, 300°} 
C)  {60°, 90°, 120°, 240°, 270°, 300°} 
D)  {60°, 90°, 120°}

Question 13

Solve the problem.
-A block hanging from a spring is free to oscillate. If a 1-kg block attached to the spring is given a downward velocity of 0.5 m/sec from a point 0.6 m above its resting position, then at any time t in seconds its position in
Meters is given by x = 0.5 sin t - 0.6 cos t. Find the maximum distance that the block travels from its resting
Position.

Accepted Answer

A)  1.22 m 
B)  0.61 m 
C)    
D)    
A)  1.22 m 
B)  0.61 m 
C)    
D)

Question 14

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.
-tan 2C

Accepted Answer

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

Question 15

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-What happens when you try to evaluate   ?

Accepted Answer

The quanti

Question 16

Prove the identity.
-cos 2x =

Accepted Answer

The answer of Prove the identity.
-cos 2x =  ...

Question 17

Complete the equation so the result is an identity.
-

Accepted Answer

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

Question 18

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

Accepted Answer

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

Question 19

Find the exact value by using a half-angle identity.
-cos

Accepted Answer

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

Question 20

Show that the equation is not an identity by listing the value(s) of the variable from among   for which
the equation is false.
-

Accepted Answer

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

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

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Prove that the equation is an identity. -

Use a half-angle identity to find an exact value for the following, given the information about x. -Find cos , given that sin and 360° < x < 450°.

Find all real numbers that satisfy the equation. -2 cos

For the given function, determine the amplitude and find the phase shift. -6 sin x - cos x Give the phase shift in radians in exact form.

Find all real numbers in the interval that satisfy the equation. -2 = sin x

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

Graph the function by first writing it in the form y = A sin(x + C). State the amplitude, period, and phase shift. -y = 3 sin x + 3 cos x

Prove that the equation is an identity. -

Simplify the expression by using a sum or difference identity. -cos(14k) cos (2k) - sin(14k) sin (2k)

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

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

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. -tan 2C

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -What happens when you try to evaluate ?

Prove the identity. -cos 2x =

Complete the equation so the result is an identity. -

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

Find the exact value by using a half-angle identity. -cos

Show that the equation is not an identity by listing the value(s) of the variable from among for which the equation is false. -

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Exam 6: Trigonometric Identities and Conditional Equations

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

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Prove that the equation is an identity. -

Use a half-angle identity to find an exact value for the following, given the information about x. -Find cos , given that sin and 360° < x < 450°.

Find all real numbers that satisfy the equation. -2 cos

For the given function, determine the amplitude and find the phase shift. -6 sin x - cos x Give the phase shift in radians in exact form.

Find all real numbers in the interval that satisfy the equation. -2 = sin x

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

Graph the function by first writing it in the form y = A sin(x + C). State the amplitude, period, and phase shift. -y = 3 sin x + 3 cos x

Prove that the equation is an identity. -

Simplify the expression by using a sum or difference identity. -cos(14k) cos (2k) - sin(14k) sin (2k)

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

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

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. -tan 2C

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -What happens when you try to evaluate ?

Prove the identity. -cos 2x =

Complete the equation so the result is an identity. -

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

Find the exact value by using a half-angle identity. -cos

Show that the equation is not an identity by listing the value(s) of the variable from among for which the equation is false. -

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