Question 1

Use the dot product to find the magnitude of u if

Accepted Answer

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

Question 2

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

Accepted Answer

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Question 3

Perform the operation shown below and leave the result in trigonometric form.

Accepted Answer

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Question 4

Plot the following complex number.

Accepted Answer

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Question 5

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 6

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

Accepted Answer

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Question 7

Determine the area of a triangle having the following measurements. Round your answer to two decimal places.

Accepted Answer

A)  33.24 sq. units 
B)  29.91 sq. units 
C)  39.89 sq. units 
D)  26.59 sq. units 
E)  36.56 sq. units 
A)  33.24 sq. units 
B)  29.91 sq. units 
C)  39.89 sq. units 
D)  26.59 sq. units 
E)  36.56 sq. units

Question 8

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)  13.27 
B)  9.13 
C)  14.65 
D)  13.96 
E)  11.89 
A)  13.27 
B)  9.13 
C)  14.65 
D)  13.96 
E)  11.89

Question 9

Given vectors   and   determine the quantity indicated below.

Accepted Answer

A)  -12 
B)  -180 
C)  10 
D)  60 
E)  -70 
A)  -12 
B)  -180 
C)  10 
D)  60 
E)  -70

Question 10

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

Accepted Answer

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

Question 11

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)  14.32 
B)  15.33 
C)  13.31 
D)  21.37 
E)  17.34 
A)  14.32 
B)  15.33 
C)  13.31 
D)  21.37 
E)  17.34

Question 12

In the figure below,   ,   , and   . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.

Accepted Answer

A)  15.33 
B)  11.55 
C)  13.44 
D)  7.77 
E)  12.02 
A)  15.33 
B)  11.55 
C)  13.44 
D)  7.77 
E)  12.02

Question 13

Find the angle between the vectors u and v.

Accepted Answer

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E)

Question 14

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

Accepted Answer

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

Question 15

In the figure below,   ,   , and   . Use this information to solve the parallelogram for $\beta$. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.

Accepted Answer

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B)    
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E)

Question 16

Find the angle between the vectors u and v.

Accepted Answer

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Question 17

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

Accepted Answer

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B)    
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D)    
E)    
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D)    
E)

Question 18

In the figure below,   ,   , and   . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.

Accepted Answer

A)  9.12 
B)    
C)  5.87 
D)  10.20 
E)  11.64 
A)  9.12 
B)    
C)  5.87 
D)  10.20 
E)  11.64

Question 19

Perform the operation shown below and leave the result in trigonometric form.

Accepted Answer

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

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

Use the dot product to find the magnitude of u if

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

Perform the operation shown below and leave the result in trigonometric form.

Plot the following complex number.

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

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

Determine the area of a triangle having the following measurements. Round your answer to two decimal places.

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

Given vectors and determine the quantity indicated below.

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

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

In the figure below, , , and . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.

Find the angle between the vectors u and v.

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

Find the angle between the vectors u and v.

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

In the figure below, , , and . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.

Perform the operation shown below and leave the result in trigonometric form.

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

Prerequisites

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Exam 7: Additional Topics in Trigonometry

Use the dot product to find the magnitude of u if

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

Perform the operation shown below and leave the result in trigonometric form.

Plot the following complex number.

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

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

Determine the area of a triangle having the following measurements. Round your answer to two decimal places.

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

Given vectors and determine the quantity indicated below.

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

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

In the figure below, , , and . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.

Find the angle between the vectors u and v.

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

In the figure below, , , and . Use this information to solve the parallelogram for β\betaβ . The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.

Find the angle between the vectors u and v.

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

In the figure below, , , and . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.

Perform the operation shown below and leave the result in trigonometric form.

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

Prerequisites

Filters