Question 1

Simplify the expression.
-

Accepted Answer

A)    
B)    
C)    
D)  11 sin(2x) 
A)    
B)    
C)    
D)  11 sin(2x)

Question 2

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 3

Simplify the expression by using a sum or difference identity.
-sin (250°) cos (10°) - cos (250°) sin (10°)

Accepted Answer

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

Question 4

Use a product-to-sum identity to rewrite the expression.
-sin(17s - 2) sin (4s - 5)

Accepted Answer

A)  0.5(sin(13s + 3) - sin(21s - 7)) 
B)  0.5(cos(13s - 7) - cos(21s - 3)) 
C)  0.5(cos(13s + 3) + cos(21s - 7)) 
D)  0.5(cos(13s + 3) - cos(21s - 7)) 
A)  0.5(sin(13s + 3) - sin(21s - 7)) 
B)  0.5(cos(13s - 7) - cos(21s - 3)) 
C)  0.5(cos(13s + 3) + cos(21s - 7)) 
D)  0.5(cos(13s + 3) - cos(21s - 7))

Question 5

Rewrite the expression in the form A sin(x + C).
-2 sin x +   cos x

Accepted Answer

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

Question 6

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.
-sin 2x = 2 sin x

Accepted Answer

The statem

Question 7

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

Accepted Answer

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

Question 8

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 2A

Accepted Answer

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

Question 9

Simplify the expression.
-

Accepted Answer

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

Question 10

Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a
degree.
-  2x = 5

Accepted Answer

A)  {0°, 45°, 90°, 135°, 180°, 225°, 270°} 
B)  {0°} 
C)  {0°, 90°, 180°, 270°} 
D)  {33°, 57°, 123°, 147°, 213°, 237°, 303°, 327°} 
A)  {0°, 45°, 90°, 135°, 180°, 225°, 270°} 
B)  {0°} 
C)  {0°, 90°, 180°, 270°} 
D)  {33°, 57°, 123°, 147°, 213°, 237°, 303°, 327°}

Question 11

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

Accepted Answer

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

Question 12

Use odd and even identities to simplify the expression.
-

Accepted Answer

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

Question 13

Use an appropriate identity to find the exact value of the expression.
-

Accepted Answer

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

Question 14

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

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

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

Accepted Answer

A)  {150°, 210°} 
B)  {135°, 225°} 
C)  {240°, 300°} 
D)  {150°, 330°} 
A)  {150°, 210°} 
B)  {135°, 225°} 
C)  {240°, 300°} 
D)  {150°, 330°}

Question 17

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

Accepted Answer

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

Question 18

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

Accepted Answer

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

Question 19

Use identities to find the exact value of the trigonometric function.
-Find cos   , given that sin   and   is in quadrant II.

Accepted Answer

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

Question 20

Simplify the expression by using a sum or difference identity.
-cos (10°) cos (110°) - sin (10°) sin (110°)

Accepted Answer

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

Simplify the expression. -

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. -

Simplify the expression by using a sum or difference identity. -sin (250°) cos (10°) - cos (250°) sin (10°)

Use a product-to-sum identity to rewrite the expression. -sin(17s - 2) sin (4s - 5)

Rewrite the expression in the form A sin(x + C). -2 sin x + cos x

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. -sin 2x = 2 sin x

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

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 2A

Simplify the expression. -

Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a degree. - 2x = 5

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

Use odd and even identities to simplify the expression. -

Use an appropriate identity to find the exact value of the expression. -

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

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

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

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

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

Use identities to find the exact value of the trigonometric function. -Find cos , given that sin and is in quadrant II.

Simplify the expression by using a sum or difference identity. -cos (10°) cos (110°) - sin (10°) sin (110°)

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Exam 6: Trigonometric Identities and Conditional Equations

Simplify the expression. -

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. -

Simplify the expression by using a sum or difference identity. -sin (250°) cos (10°) - cos (250°) sin (10°)

Use a product-to-sum identity to rewrite the expression. -sin(17s - 2) sin (4s - 5)

Rewrite the expression in the form A sin(x + C). -2 sin x + cos x

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. -sin 2x = 2 sin x

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

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 2A

Simplify the expression. -

Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a degree. - 2x = 5

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

Use odd and even identities to simplify the expression. -

Use an appropriate identity to find the exact value of the expression. -

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

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

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

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

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

Use identities to find the exact value of the trigonometric function. -Find cos , given that sin and is in quadrant II.

Simplify the expression by using a sum or difference identity. -cos (10°) cos (110°) - sin (10°) sin (110°)

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