Question 1

Factor and, if possible, simplify the expression.
-

Accepted Answer

A)  sin x 
B)  sin x - 1 
C)  sin x + 1 
D)    
A)  sin x 
B)  sin x - 1 
C)  sin x + 1 
D)

Question 2

Use identities to simplify the expression.
-

Accepted Answer

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

Question 3

Find all real numbers that satisfy the equation.
-2 sin   = 0

Accepted Answer

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

Question 4

Factor the trigonometric expression.
-

Accepted Answer

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

Question 5

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

Accepted Answer

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

Question 6

Use identities to find the exact value of the trigonometric function.
-Find tan   given that sin

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)  1 
B)    
C)  0 
D)    
A)  1 
B)    
C)  0 
D)

Question 8

Use identities to simplify the expression.
-

Accepted Answer

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

Question 9

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.
-sin 2A

Accepted Answer

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

Question 10

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

Accepted Answer

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

Question 11

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 12

Prove the identity.
-cos 2y =

Accepted Answer

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

Question 13

Solve the problem.
-The range r of a projectile is given by   where v is the initial velocity and   is the angle of elevation. If r is to be 4000 ft and v = 1000 ft/sec, what must the angle of elevation be? Give your answer in degrees to the nearest hundredth.

Accepted Answer

A)  7.35° 
B)  86.32° 
C)  3.68° 
D)  5.15° 
A)  7.35° 
B)  86.32° 
C)  3.68° 
D)  5.15°

Question 14

Find all angles in degrees that satisfy the equation.
-cos x = 0

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.
-7   = 5

Accepted Answer

A)  {103.2°, 145.2°, 283.2°, 325.2°} 
B)  {49.8°, 130.2°, 229.8°, 310.2°} 
C)  {70.5°, 109.5°, 180°} 
D)  {51.8°, 128.2°} 
A)  {103.2°, 145.2°, 283.2°, 325.2°} 
B)  {49.8°, 130.2°, 229.8°, 310.2°} 
C)  {70.5°, 109.5°, 180°} 
D)  {51.8°, 128.2°}

Question 16

Use an identity to find the exact value of the expression.
-cos 135° + 150°

Accepted Answer

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

Question 17

Find the exact value of the product.
-sin   sin

Accepted Answer

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

Question 18

Prove the identity.
-

Accepted Answer

The answer of Prove the identity.
- ...

Question 19

Use odd and even identities to simplify the expression.
-

Accepted Answer

A)  -csc x 
B)  -sec x 
C)  sec x 
D)  csc x 
A)  -csc x 
B)  -sec x 
C)  sec x 
D)  csc x

Question 20

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

Accepted Answer

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

Factor and, if possible, simplify the expression. -

Use identities to simplify the expression. -

Find all real numbers that satisfy the equation. -2 sin = 0

Factor the trigonometric expression. -

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

Use identities to find the exact value of the trigonometric function. -Find tan given that sin

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

Use identities to simplify the expression. -

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. -sin 2A

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

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

Prove the identity. -cos 2y =

Solve the problem. -The range r of a projectile is given by where v is the initial velocity and is the angle of elevation. If r is to be 4000 ft and v = 1000 ft/sec, what must the angle of elevation be? Give your answer in degrees to the nearest hundredth.

Find all angles in degrees that satisfy the equation. -cos x = 0

Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a degree. -7 = 5

Use an identity to find the exact value of the expression. -cos 135° + 150°

Find the exact value of the product. -sin sin

Prove the identity. -

Use odd and even identities to simplify the expression. -

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

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Exam 6: Trigonometric Identities and Conditional Equations

Factor and, if possible, simplify the expression. -

Use identities to simplify the expression. -

Find all real numbers that satisfy the equation. -2 sin = 0

Factor the trigonometric expression. -

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

Use identities to find the exact value of the trigonometric function. -Find tan given that sin

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

Use identities to simplify the expression. -

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. -sin 2A

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

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

Prove the identity. -cos 2y =

Solve the problem. -The range r of a projectile is given by where v is the initial velocity and is the angle of elevation. If r is to be 4000 ft and v = 1000 ft/sec, what must the angle of elevation be? Give your answer in degrees to the nearest hundredth.

Find all angles in degrees that satisfy the equation. -cos x = 0

Find all values of x in the interval [0°, 360°) that satisfy the equation. Round approximate answers to the nearest tenth of a degree. -7 = 5

Use an identity to find the exact value of the expression. -cos 135° + 150°

Find the exact value of the product. -sin sin

Prove the identity. -

Use odd and even identities to simplify the expression. -

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

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