Question 1

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) 17.88 
B) 18.18 
C) 15.73 
D) 17.57 
E) 16.96 
A) 17.88 
B) 18.18 
C) 15.73 
D) 17.57 
E) 16.96

Question 2

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

Accepted Answer

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

Question 3

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 4

Use the dot product to find the magnitude of u if

Accepted Answer

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

Question 5

Find the standard form of the complex number   . Round values to the nearest hundredth.

Accepted Answer

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

Question 6

Plot the following complex number.

Accepted Answer

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

Question 7

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

Accepted Answer

A) 76.18 sq.units 
B) 114.27 sq.units 
C) 95.23 sq.units 
D) 104.75 sq.units 
E) 85.70 sq.units 
A) 76.18 sq.units 
B) 114.27 sq.units 
C) 95.23 sq.units 
D) 104.75 sq.units 
E) 85.70 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   and   , determine   .

Accepted Answer

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

Question 10

Divide the complex numbers below and leave the result in trigonometric form.

Accepted Answer

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

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

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

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

Use the dot product to find the magnitude of u if

Find the standard form of the complex number . Round values to the nearest hundredth.

Plot the following complex number.

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 and , determine .

Divide the complex numbers below and leave the result in trigonometric form.

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

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Exam 7: Additional Topics in Trigonometry

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

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

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

Use the dot product to find the magnitude of u if

Find the standard form of the complex number . Round values to the nearest hundredth.

Plot the following complex number.

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 and , determine .

Divide the complex numbers below and leave the result in trigonometric form.

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