Question 1

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

Accepted Answer

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

Question 2

Solve the problem.
-A box weighing 65 lb is hanging from the end of a rope. The box is pulled sideways by a horizontal rope with a force of 23 lb. What angle, to the nearest degree, does the first rope make with the vertical?

Accepted Answer

A)  29° 
B)  19° 
C)  38° 
D)  10° 
A)  29° 
B)  19° 
C)  38° 
D)  10°

Question 3

Solve.
-Two tracking stations are on the equator 151 miles apart. A weather balloon is located on a bearing of N 41°E from the western station and on a bearing of N 18°E from the eastern station. How far is the balloon from the
Western station? Round to the nearest mile.

Accepted Answer

A)  322 mi 
B)  331 mi 
C)  368 mi 
D)  377 mi 
A)  322 mi 
B)  331 mi 
C)  368 mi 
D)  377 mi

Question 4

Solve.
-Two forces of 24 and 14 N (newtons) act on an object. The angle between the forces is 36°. Find the magnitude of the resultant and the angle that it makes with the larger force.

Accepted Answer

A)  3 N, 13° 
B)  37 N, 13° 
C)  35 N, 18° 
D)  36 N, 13° 
A)  3 N, 13° 
B)  37 N, 13° 
C)  35 N, 18° 
D)  36 N, 13°

Question 5

Write the complex number in the form a + bi.
-6(cos 330° + i sin 330°)

Accepted Answer

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

Question 6

Provide an appropriate response.
-Explain the method used to plot a point   in polar coordinates,   .

Accepted Answer

The answer of Provide an appropriate response.
-Explain the method used...

Question 7

Find all specified roots.
-Square roots of

Accepted Answer

A)    
B)    
C)    
D)  6 - 2i, -6 - 2i 
A)    
B)    
C)    
D)  6 - 2i, -6 - 2i

Question 8

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

Accepted Answer

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

Question 9

Perform the operation on the given vectors and find the magnitude and direction angle for the new vector.
-Given A = 3, 5 and B = 6, 6 -2A

Accepted Answer

A)    
B)    
C)  16, 149° 
D)    
A)    
B)    
C)  16, 149° 
D)

Question 10

Solve the equation. Write the answer in a + bi form.
-  + 8i = 0

Accepted Answer

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

Question 11

Solve the triangle. If there is more than one triangle with the given parts, give both solutions.
-  = 10.1° b = 12.05
A = 17.18

Accepted Answer

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

Question 12

Write the complex number in trigonometric form, using degree measure for the argument.
-

Accepted Answer

A)  6(cos 45° + i sin 45°) 
B)  6(cos(-135°) + i sin(-135°)) 
C)  6(cos 135° + i sin 135°) 
D)  6(cos(-45°) + i sin(-45°)) 
A)  6(cos 45° + i sin 45°) 
B)  6(cos(-135°) + i sin(-135°)) 
C)  6(cos 135° + i sin 135°) 
D)  6(cos(-45°) + i sin(-45°))

Question 13

Solve the triangle. Approximate values to the nearest tenth when appropriate.
-a = 6.9 b = 13.6
C = 15.9

Accepted Answer

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

Question 14

Perform the indicated operation. Write the answer in the form a + bi.
-  cos 8° + i sin 8°) ·   (cos 22° + i sin 22°)

Accepted Answer

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

Question 15

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

Accepted Answer

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

Question 16

Graph the pair of parametric equations with the aid of a graphing calculator.
-

Accepted Answer

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

Question 17

Graph the pair of parametric equations with the aid of a graphing calculator.
-

Accepted Answer

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

Question 18

Convert the rectangular coordinates to polar coordinates. Round r to the nearest tenth, if necessary, and round   to the
nearest tenth of a degree.
-(2, 4)

Accepted Answer

A)  (4.47, - 63.6°) 
B)  (4.47, 243.5°) 
C)  (4.47, 63.6°) 
D)  (4.47, - 243.5°) 
A)  (4.47, - 63.6°) 
B)  (4.47, 243.5°) 
C)  (4.47, 63.6°) 
D)  (4.47, - 243.5°)

Question 19

Write the complex number in the form a + bi.
-

Accepted Answer

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

Question 20

State if the vectors a and b are perpendicular, parallel, or neither. If a and b are parallel, state whether they point in the
same direction or in opposite directions.
-a = 10, 8 , b = -8, 5

Accepted Answer

A)  Parallel, opposite directions 
B)  Parallel, same direction 
C)  Perpendicular 
D)  Neither 
A)  Parallel, opposite directions 
B)  Parallel, same direction 
C)  Perpendicular 
D)  Neither

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

Solve the problem. -A box weighing 65 lb is hanging from the end of a rope. The box is pulled sideways by a horizontal rope with a force of 23 lb. What angle, to the nearest degree, does the first rope make with the vertical?

Solve. -Two tracking stations are on the equator 151 miles apart. A weather balloon is located on a bearing of N 41°E from the western station and on a bearing of N 18°E from the eastern station. How far is the balloon from the Western station? Round to the nearest mile.

Solve. -Two forces of 24 and 14 N (newtons) act on an object. The angle between the forces is 36°. Find the magnitude of the resultant and the angle that it makes with the larger force.

Write the complex number in the form a + bi. -6(cos 330° + i sin 330°)

Provide an appropriate response. -Explain the method used to plot a point in polar coordinates, .

Find all specified roots. -Square roots of

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

Perform the operation on the given vectors and find the magnitude and direction angle for the new vector. -Given A = 3, 5 and B = 6, 6 -2A

Solve the equation. Write the answer in a + bi form. - + 8i = 0

Solve the triangle. If there is more than one triangle with the given parts, give both solutions. - = 10.1° b = 12.05 A = 17.18

Write the complex number in trigonometric form, using degree measure for the argument. -

Solve the triangle. Approximate values to the nearest tenth when appropriate. -a = 6.9 b = 13.6 C = 15.9

Perform the indicated operation. Write the answer in the form a + bi. - cos 8° + i sin 8°) · (cos 22° + i sin 22°)

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

Graph the pair of parametric equations with the aid of a graphing calculator. -

Graph the pair of parametric equations with the aid of a graphing calculator. -

Convert the rectangular coordinates to polar coordinates. Round r to the nearest tenth, if necessary, and round to the nearest tenth of a degree. -(2, 4)

Write the complex number in the form a + bi. -

State if the vectors a and b are perpendicular, parallel, or neither. If a and b are parallel, state whether they point in the same direction or in opposite directions. -a = 10, 8 , b = -8, 5

Equations, Inequalities, and Modeling

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Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

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Basic Algebra Review

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Exam 7: Applications of Trigonometry

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

Solve the problem. -A box weighing 65 lb is hanging from the end of a rope. The box is pulled sideways by a horizontal rope with a force of 23 lb. What angle, to the nearest degree, does the first rope make with the vertical?

Solve. -Two tracking stations are on the equator 151 miles apart. A weather balloon is located on a bearing of N 41°E from the western station and on a bearing of N 18°E from the eastern station. How far is the balloon from the Western station? Round to the nearest mile.

Solve. -Two forces of 24 and 14 N (newtons) act on an object. The angle between the forces is 36°. Find the magnitude of the resultant and the angle that it makes with the larger force.

Write the complex number in the form a + bi. -6(cos 330° + i sin 330°)

Provide an appropriate response. -Explain the method used to plot a point in polar coordinates, .

Find all specified roots. -Square roots of

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

Perform the operation on the given vectors and find the magnitude and direction angle for the new vector. -Given A = 3, 5 and B = 6, 6 -2A

Solve the equation. Write the answer in a + bi form. - + 8i = 0

Solve the triangle. If there is more than one triangle with the given parts, give both solutions. - = 10.1° b = 12.05 A = 17.18

Write the complex number in trigonometric form, using degree measure for the argument. -

Solve the triangle. Approximate values to the nearest tenth when appropriate. -a = 6.9 b = 13.6 C = 15.9

Perform the indicated operation. Write the answer in the form a + bi. - cos 8° + i sin 8°) · (cos 22° + i sin 22°)

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

Graph the pair of parametric equations with the aid of a graphing calculator. -

Graph the pair of parametric equations with the aid of a graphing calculator. -

Convert the rectangular coordinates to polar coordinates. Round r to the nearest tenth, if necessary, and round to the nearest tenth of a degree. -(2, 4)

Write the complex number in the form a + bi. -

State if the vectors a and b are perpendicular, parallel, or neither. If a and b are parallel, state whether they point in the same direction or in opposite directions. -a = 10, 8 , b = -8, 5

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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