Question 1

Solve the triangle. Approximate values to the nearest tenth when appropriate.
-  = 63.5° a = 12.20
C = 7.80

Accepted Answer

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

Question 2

Graph the pair of parametric equations in the rectangular coordinate system.
-

Accepted Answer

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

Question 3

Solve the equation. Express your answer in trigonometric form.
-

Accepted Answer

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

Question 4

Use a calculator to convert from polar to rectangular coordinates. Round to the nearest hundredth.
-(-4.3, -44°)

Accepted Answer

A)  (0.72, -0.69) 
B)  (3.09, -2.99) 
C)  (2.99, -3.09) 
D)  (-3.09, 2.99) 
A)  (0.72, -0.69) 
B)  (3.09, -2.99) 
C)  (2.99, -3.09) 
D)  (-3.09, 2.99)

Question 5

Solve the triangle. Approximate values to the nearest tenth when appropriate.
-

Accepted Answer

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

Question 6

Eliminate the parameter of the pair of parametric equations.
-

Accepted Answer

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

Question 7

Write a pair of parametric equations that will produce the indicated graph.
-The portion of the circle x   that lies in the second quadrant

Accepted Answer

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

Question 8

Convert the rectangular coordinates to polar coordinates, using radian measure for the angle.
-(-7, -7)

Accepted Answer

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

Question 9

Find the angle between the given vectors to the nearest tenth of a degree.
-,

Accepted Answer

A)  16.0° 
B)  -7.0° 
C)  3.0° 
D)  6.0° 
A)  16.0° 
B)  -7.0° 
C)  3.0° 
D)  6.0°

Question 10

For the given polar equation, write an equivalent rectangular equation.
-

Accepted Answer

A)    
B)  y = 5 
C)  x = 5 
D)    
A)    
B)  y = 5 
C)  x = 5 
D)

Question 11

Perform the indicated operation. Write the answer in the form a + bi.
-

Accepted Answer

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

Question 12

Approximate the area of the triangle to the nearest tenth.
-  = 37.6°, b = 11.2, a = 12.1

Accepted Answer

A)  64.4 
B)  41.3 
C)  67.8 
D)  38.3 
A)  64.4 
B)  41.3 
C)  67.8 
D)  38.3

Question 13

Graph the point.
-

Accepted Answer

A)    
B)    
A)    
B)

Question 14

Use a calculator to convert from polar to rectangular coordinates. Round to the nearest hundredth.
-(4.0, -33°)

Accepted Answer

A)  (-2.18, 3.35) 
B)  (3.35, -2.18) 
C)  (3.35, 2.18) 
D)  (0.84, -0.54) 
A)  (-2.18, 3.35) 
B)  (3.35, -2.18) 
C)  (3.35, 2.18) 
D)  (0.84, -0.54)

Question 15

Eliminate the parameter of the pair of parametric equations.
-x = 5 tan t, y = 4 cot t

Accepted Answer

A)    
B)    
C)    
D)  xy = 20 
A)    
B)    
C)    
D)  xy = 20

Question 16

Solve the problem.
-What is the minimum force required to prevent a ball weighing 17.2 lb from rolling down a ramp which is inclined 24.8° with the horizontal? Round to the nearest tenth.

Accepted Answer

A)  7.8 lb 
B)  3.6 lb 
C)  7.2 lb 
D)  15.6 lb 
A)  7.8 lb 
B)  3.6 lb 
C)  7.2 lb 
D)  15.6 lb

Question 17

Graph the pair of parametric equations in the rectangular coordinate system.
-

Accepted Answer

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

Question 18

Change the polar coordinates   to rectangular coordinates (x, y).
-

Accepted Answer

A)  (0, -2) 
B)  (0, 2) 
C)  (2, 0) 
D)  (-2, 0) 
A)  (0, -2) 
B)  (0, 2) 
C)  (2, 0) 
D)  (-2, 0)

Question 19

Use De Moivre's theorem to simplify the expression. Write the answer in the form a + bi.
-

Accepted Answer

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

Question 20

Graph the complex number.
-

Accepted Answer

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

Solve the triangle. Approximate values to the nearest tenth when appropriate. - = 63.5° a = 12.20 C = 7.80

Graph the pair of parametric equations in the rectangular coordinate system. -

Solve the equation. Express your answer in trigonometric form. -

Use a calculator to convert from polar to rectangular coordinates. Round to the nearest hundredth. -(-4.3, -44°)

Solve the triangle. Approximate values to the nearest tenth when appropriate. -

Eliminate the parameter of the pair of parametric equations. -

Write a pair of parametric equations that will produce the indicated graph. -The portion of the circle x that lies in the second quadrant

Convert the rectangular coordinates to polar coordinates, using radian measure for the angle. -(-7, -7)

Find the angle between the given vectors to the nearest tenth of a degree. -<3, -8>, <4, -8>

For the given polar equation, write an equivalent rectangular equation. -

Perform the indicated operation. Write the answer in the form a + bi. -

Approximate the area of the triangle to the nearest tenth. - = 37.6°, b = 11.2, a = 12.1

Graph the point. -

Use a calculator to convert from polar to rectangular coordinates. Round to the nearest hundredth. -(4.0, -33°)

Eliminate the parameter of the pair of parametric equations. -x = 5 tan t, y = 4 cot t

Solve the problem. -What is the minimum force required to prevent a ball weighing 17.2 lb from rolling down a ramp which is inclined 24.8° with the horizontal? Round to the nearest tenth.

Graph the pair of parametric equations in the rectangular coordinate system. -

Change the polar coordinates to rectangular coordinates (x, y). -

Use De Moivre's theorem to simplify the expression. Write the answer in the form a + bi. -

Graph the complex number. -

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Exam 7: Applications of Trigonometry

Solve the triangle. Approximate values to the nearest tenth when appropriate. - = 63.5° a = 12.20 C = 7.80

Graph the pair of parametric equations in the rectangular coordinate system. -

Solve the equation. Express your answer in trigonometric form. -

Use a calculator to convert from polar to rectangular coordinates. Round to the nearest hundredth. -(-4.3, -44°)

Solve the triangle. Approximate values to the nearest tenth when appropriate. -

Eliminate the parameter of the pair of parametric equations. -

Write a pair of parametric equations that will produce the indicated graph. -The portion of the circle x that lies in the second quadrant

Convert the rectangular coordinates to polar coordinates, using radian measure for the angle. -(-7, -7)

Find the angle between the given vectors to the nearest tenth of a degree. -<3, -8>, <4, -8>

For the given polar equation, write an equivalent rectangular equation. -

Perform the indicated operation. Write the answer in the form a + bi. -

Approximate the area of the triangle to the nearest tenth. - = 37.6°, b = 11.2, a = 12.1

Graph the point. -

Use a calculator to convert from polar to rectangular coordinates. Round to the nearest hundredth. -(4.0, -33°)

Eliminate the parameter of the pair of parametric equations. -x = 5 tan t, y = 4 cot t

Solve the problem. -What is the minimum force required to prevent a ball weighing 17.2 lb from rolling down a ramp which is inclined 24.8° with the horizontal? Round to the nearest tenth.

Graph the pair of parametric equations in the rectangular coordinate system. -

Change the polar coordinates to rectangular coordinates (x, y). -

Use De Moivre's theorem to simplify the expression. Write the answer in the form a + bi. -

Graph the complex number. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

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