Question 1

Write the complex number shown below in trigonometric form.

Accepted Answer

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

Question 2

Find the product   using trigonometric forms. Leave the result in trigonometric form.

Accepted Answer

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

Question 3

Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form.

Accepted Answer

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

Question 4

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Accepted Answer

A) 16,384 
B) 1,048,576 
C) 32,768 
D) -16,384 
E) 262,144 
A) 16,384 
B) 1,048,576 
C) 32,768 
D) -16,384 
E) 262,144

Question 5

Given   ,   , and   , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.

Accepted Answer

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

Question 6

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Accepted Answer

A) -324 
B) 729 
C) 324 
D) 2,916 
E) 243 
A) -324 
B) 729 
C) 324 
D) 2,916 
E) 243

Question 7

Given   ,   , and   , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.

Accepted Answer

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

Question 8

Given   ,   , and   , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.

Accepted Answer

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

Question 9

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Accepted Answer

A) 32 
B) 64 
C)    
D)    
E) -64 
A) 32 
B) 64 
C)    
D)    
E) -64

Question 10

Given   ,   , and   , use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.

Accepted Answer

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

Question 11

Find the magnitude of vector v with initial point   and terminal point   .

Accepted Answer

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

Question 12

Find the trigonometric form of the complex number shown below.

Accepted Answer

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

Question 13

Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form.

Accepted Answer

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

Question 14

Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form.

Accepted Answer

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

Question 15

A straight road makes an angle, A, of   with the horizontal. When the angle of elevation, B, of the sun is   , a vertical pole beside the road casts a shadow 6 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places.

Accepted Answer

A) 3.49 feet 
B) 6.31 feet 
C) 5.71 feet 
D) 8.26 feet 
E) 4.15 feet 
A) 3.49 feet 
B) 6.31 feet 
C) 5.71 feet 
D) 8.26 feet 
E) 4.15 feet

Question 16

Write the complex number shown below in trigonometric form.

Accepted Answer

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

Question 17

Use the dot product to find the magnitude of u if

Accepted Answer

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

Question 18

Find the standard form of the complex number shown below. Round answers to two decimal places.

Accepted Answer

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

Question 19

Given that Force 1 = 70 pounds and Force 2 = 120 pounds, find the angle between the forces if the magnitude of the resultant force is 90 pounds. Round answer to the nearest degree.

Accepted Answer

A) 60° 
B) 40° 
C) 53° 
D) 45° 
E) 48° 
A) 60° 
B) 40° 
C) 53° 
D) 45° 
E) 48°

Question 20

Given   ,   , and   , use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places.

Accepted Answer

A) 19.48 
B) 16.84 
C) 20.36 
D) 13.33 
E) 18.60 
A) 19.48 
B) 16.84 
C) 20.36 
D) 13.33 
E) 18.60

Write the complex number shown below in trigonometric form.

Find the product using trigonometric forms. Leave the result in trigonometric form.

Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form.

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Given , , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Given , , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.

Given , , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Given , , and , use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.

Find the magnitude of vector v with initial point and terminal point .

Find the trigonometric form of the complex number shown below.

Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form.

Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form.

A straight road makes an angle, A, of with the horizontal. When the angle of elevation, B, of the sun is , a vertical pole beside the road casts a shadow 6 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places.

Write the complex number shown below in trigonometric form.

Use the dot product to find the magnitude of u if

Find the standard form of the complex number shown below. Round answers to two decimal places.

Given that Force 1 = 70 pounds and Force 2 = 120 pounds, find the angle between the forces if the magnitude of the resultant force is 90 pounds. Round answer to the nearest degree.

Given , , and , use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places.

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Polynomial and Rational Functions

Exponential and Logarithmic Functions

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Exam 7: Additional Topics in Trigonometry

Write the complex number shown below in trigonometric form.

Find the product using trigonometric forms. Leave the result in trigonometric form.

Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form.

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Given , , and , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Given , , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.

Given , , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.

Use DeMoivre's Theorem to find the indicated power of the following complex number.

Given , , and , use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.

Find the magnitude of vector v with initial point and terminal point .

Find the trigonometric form of the complex number shown below.

Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form.

Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form.

A straight road makes an angle, A, of with the horizontal. When the angle of elevation, B, of the sun is , a vertical pole beside the road casts a shadow 6 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places.

Write the complex number shown below in trigonometric form.

Use the dot product to find the magnitude of u if

Find the standard form of the complex number shown below. Round answers to two decimal places.

Given that Force 1 = 70 pounds and Force 2 = 120 pounds, find the angle between the forces if the magnitude of the resultant force is 90 pounds. Round answer to the nearest degree.

Given , , and , use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places.

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Algebraic Expressions and Equations

Filters