Question 1

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 2

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

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

Question 3

Find the cube roots of the following complex number. Write each of the roots in standard form.

Accepted Answer

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

Question 4

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

Accepted Answer

A)  68.17 sq. units 
B)  61.36 sq. units 
C)  54.54 sq. units 
D)  81.81 sq. units 
E)  74.99 sq. units 
A)  68.17 sq. units 
B)  61.36 sq. units 
C)  54.54 sq. units 
D)  81.81 sq. units 
E)  74.99 sq. units

Question 5

Find the cube roots of the following complex number. Write each of the roots in standard form.

Accepted Answer

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

Question 6

Find the vector v that has a magnitude of   and is in the same direction as u, where   .

Accepted Answer

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

Question 7

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 8

Determine   where $\theta$ is the angle between u and v. Round answer to two decimal places.

Accepted Answer

A)  7.07 
B)  5.00 
C)  6.83 
D)  8.66 
E)  6.04 
A)  7.07 
B)  5.00 
C)  6.83 
D)  8.66 
E)  6.04

Question 9

Find the vector v that has a magnitude of   and is in the same direction as u, where   .

Accepted Answer

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

Question 10

Find the magnitude of vector v.

Accepted Answer

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

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

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%.

Find the cube roots of the following complex number. Write each of the roots in standard form.

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

Find the cube roots of the following complex number. Write each of the roots in standard form.

Find the vector v that has a magnitude of and is in the same direction as u, where .

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

Determine $Determine where \theta is the angle between u and v. Round answer to two decimal places.$ where $\theta$ is the angle between u and v. Round answer to two decimal places.

Find the vector v that has a magnitude of and is in the same direction as u, where .

Find the magnitude of vector v.

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

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

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%.

Find the cube roots of the following complex number. Write each of the roots in standard form.

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

Find the cube roots of the following complex number. Write each of the roots in standard form.

Find the vector v that has a magnitude of and is in the same direction as u, where .

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

Determine where θ\thetaθ is the angle between u and v. Round answer to two decimal places.

Find the vector v that has a magnitude of and is in the same direction as u, where .

Find the magnitude of vector v.

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

Determine $Determine where \theta is the angle between u and v. Round answer to two decimal places.$ where $\theta$ is the angle between u and v. Round answer to two decimal places.