Question 1

Find the product.
-(

Accepted Answer

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

Question 2

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 2B

Accepted Answer

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

Question 3

Prove that the equation is an identity.
-

Accepted Answer

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

Question 4

Choose the expression which is equivalent to the given expression.
-

Accepted Answer

A)    
B)  sin 6° 
C)    
D)  cos 6° 
A)    
B)  sin 6° 
C)    
D)  cos 6°

Question 5

Choose the expression which is equivalent to the given expression.
-2 sin 18° cos 18°

Accepted Answer

A)  sin 36° 
B)  cos 9° 
C)  cos 36° 
D)  sin 9° 
A)  sin 36° 
B)  cos 9° 
C)  cos 36° 
D)  sin 9°

Question 6

Find the exact value by using a sum or difference identity.
-tan 75°

Accepted Answer

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

Question 7

Simplify the expression.
-

Accepted Answer

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

Question 8

Find the product.
-

Accepted Answer

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

Question 9

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

Accepted Answer

A)  60°, 300° 
B)  120°, 240° 
C)  30°, 60°, 210°, 240° 
D)  15°, 75°, 195°, 255° 
A)  60°, 300° 
B)  120°, 240° 
C)  30°, 60°, 210°, 240° 
D)  15°, 75°, 195°, 255°

Question 10

Find all real numbers in the interval   that satisfy the equation.
-  + sin x = 0

Accepted Answer

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

Question 11

Prove that the equation is an identity.
-

Accepted Answer

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

Question 12

Use a sum-to-product identity to rewrite the expression.
-sin 53° - sin 25°

Accepted Answer

A)  -2 sin 39° sin 14° 
B)  2 cos 39° sin 14° 
C)  2 cos 39° cos 14° 
D)  2 sin 39° cos 14° 
A)  -2 sin 39° sin 14° 
B)  2 cos 39° sin 14° 
C)  2 cos 39° cos 14° 
D)  2 sin 39° cos 14°

Question 13

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

Accepted Answer

A)  cot 41° 
B)  tan 41° 
C)  sin 41° 
D)  cos 41° 
A)  cot 41° 
B)  tan 41° 
C)  sin 41° 
D)  cos 41°

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.
-sin 2B

Accepted Answer

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

Question 15

Find the exact value of the expression using the provided information.
-Find sin(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 16

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

Accepted Answer

A)  {15°, 165°, 195°, 345°} 
B)  {105°, 165°, 285°, 345°} 
C)  {0°, 120°, 180°, 240°} 
D)  {30°, 90°, 150°, 270°} 
A)  {15°, 165°, 195°, 345°} 
B)  {105°, 165°, 285°, 345°} 
C)  {0°, 120°, 180°, 240°} 
D)  {30°, 90°, 150°, 270°}

Question 17

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 x - 4 = 0

Accepted Answer

A)  {0°} 
B)  {270°} 
C)  {180°} 
D)  {90°} 
A)  {0°} 
B)  {270°} 
C)  {180°} 
D)  {90°}

Question 18

Solve the problem.
-The position of a weight on a spring relative to the point of equilibrium is given by y = 2 cos 7t - 5 sin 7t,
Where the arguments are in radians and t is in seconds. Find the smallest value of t for which the weight is at the
Point of equilibrium (y = 0). Give your answer to the nearest hundredth.

Accepted Answer

A)  0.05 sec 
B)  0.10 sec 
C)  0.17 sec 
D)  0.20 sec 
A)  0.05 sec 
B)  0.10 sec 
C)  0.17 sec 
D)  0.20 sec

Question 19

Find all real numbers in the interval   that satisfy the equation.
-  sin 4x = 3

Accepted Answer

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

Question 20

Factor and, if possible, simplify the expression.
-

Accepted Answer

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

Find the product. -(

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 2B

Prove that the equation is an identity. -

Choose the expression which is equivalent to the given expression. -

Choose the expression which is equivalent to the given expression. -2 sin 18° cos 18°

Find the exact value by using a sum or difference identity. -tan 75°

Simplify the expression. -

Find the product. -

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

Find all real numbers in the interval that satisfy the equation. - + sin x = 0

Prove that the equation is an identity. -

Use a sum-to-product identity to rewrite the expression. -sin 53° - sin 25°

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

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 2B

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

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

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 x - 4 = 0

Find all real numbers in the interval that satisfy the equation. - sin 4x = 3

Factor and, if possible, simplify the expression. -

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Exam 6: Trigonometric Identities and Conditional Equations

Find the product. -(

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 2B

Prove that the equation is an identity. -

Choose the expression which is equivalent to the given expression. -

Choose the expression which is equivalent to the given expression. -2 sin 18° cos 18°

Find the exact value by using a sum or difference identity. -tan 75°

Simplify the expression. -

Find the product. -

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

Find all real numbers in the interval that satisfy the equation. - + sin x = 0

Prove that the equation is an identity. -

Use a sum-to-product identity to rewrite the expression. -sin 53° - sin 25°

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

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 2B

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

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

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 x - 4 = 0

Find all real numbers in the interval that satisfy the equation. - sin 4x = 3

Factor and, if possible, 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