Question 1

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

Accepted Answer

A)  43.69 sq. units 
B)  36.41 sq. units 
C)  29.12 sq. units 
D)  32.77 sq. units 
E)  40.05 sq. units 
A)  43.69 sq. units 
B)  36.41 sq. units 
C)  29.12 sq. units 
D)  32.77 sq. units 
E)  40.05 sq. units

Question 2

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

Accepted Answer

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

Question 3

Write the complex number shown below in trigonometric form.

Accepted Answer

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D)    
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Question 4

Represent the complex number below graphically.

Accepted Answer

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Question 5

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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Question 6

Find all solutions to the following equation.

Accepted Answer

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Question 7

Let w be a vector with initial point   and terminal point   . Write w as a linear combination of the standard unit vectors i and j.

Accepted Answer

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Question 8

Find the trigonometric form of the complex number shown below.

Accepted Answer

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Question 9

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

Accepted Answer

A)  22.20 sq. units 
B)  24.67 sq. units 
C)  19.73 sq. units 
D)  29.60 sq. units 
E)  27.13 sq. units 
A)  22.20 sq. units 
B)  24.67 sq. units 
C)  19.73 sq. units 
D)  29.60 sq. units 
E)  27.13 sq. units

Question 10

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

Accepted Answer

A)  34.18 sq. units 
B)  37.29 sq. units 
C)  27.97 sq. units 
D)  31.07 sq. units 
E)  24.86 sq. units 
A)  34.18 sq. units 
B)  37.29 sq. units 
C)  27.97 sq. units 
D)  31.07 sq. units 
E)  24.86 sq. units

Question 11

Represent the complex number below graphically.

Accepted Answer

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D)    
E)    
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B)    
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D)    
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Question 12

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)    
E)    
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D)    
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Question 13

The vector   gives the number of units of two models of laptops produced by a company. The vector   gives the prices (in dollars) of the two models of laptops, respectively. Identify the vector operation used to increase revenue by 5%.

Accepted Answer

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Question 14

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

Accepted Answer

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Question 15

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 16

Find the magnitude of vector v.

Accepted Answer

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B)    
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Question 17

Given that Force 1 = 70 pounds and Force 2 = 90 pounds, find the angle between the forces if the magnitude of the resultant force is 140 pounds. Round answer to the nearest degree.

Accepted Answer

A)  134° 
B)  119° 
C)  127° 
D)  122° 
E)  114° 
A)  134° 
B)  119° 
C)  127° 
D)  122° 
E)  114°

Question 18

Find the fourth roots of   Write the roots in trigonometric form.

Accepted Answer

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Question 19

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

Accepted Answer

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Question 20

Find the trigonometric form of the complex number shown below.

Accepted Answer

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B)    
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Determine the area of a triangle having the following measurements. Round your 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.

Write the complex number shown below in trigonometric form.

Represent the complex number below graphically.

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

Find all solutions to the following equation.

Let w be a vector with initial point and terminal point . Write w as a linear combination of the standard unit vectors i and j.

Find the trigonometric form of the complex number shown below.

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

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

Represent the complex number below graphically.

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

The vector gives the number of units of two models of laptops produced by a company. The vector gives the prices (in dollars) of the two models of laptops, respectively. Identify the vector operation used to increase revenue by 5%.

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

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

Find the magnitude of vector v.

Given that Force 1 = 70 pounds and Force 2 = 90 pounds, find the angle between the forces if the magnitude of the resultant force is 140 pounds. Round answer to the nearest degree.

Find the fourth roots of Write the roots in trigonometric form.

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

Find the trigonometric form of the complex number shown below.

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

Exam 7: Additional Topics in Trigonometry

Determine the area of a triangle having the following measurements. Round your 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.

Write the complex number shown below in trigonometric form.

Represent the complex number below graphically.

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

Find all solutions to the following equation.

Let w be a vector with initial point and terminal point . Write w as a linear combination of the standard unit vectors i and j.

Find the trigonometric form of the complex number shown below.

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

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

Represent the complex number below graphically.

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

The vector gives the number of units of two models of laptops produced by a company. The vector gives the prices (in dollars) of the two models of laptops, respectively. Identify the vector operation used to increase revenue by 5%.

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

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

Find the magnitude of vector v.

Given that Force 1 = 70 pounds and Force 2 = 90 pounds, find the angle between the forces if the magnitude of the resultant force is 140 pounds. Round answer to the nearest degree.

Find the fourth roots of Write the roots in trigonometric form.

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

Find the trigonometric form of the complex number shown below.

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