Question 1

Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.]

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these 
A)    
B)    
C)    
D)    
E) none of these

Question 2

Find the absolute value of the complex number   .

Accepted Answer

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

Question 3

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 4

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 5

Given   and   , determine   .

Accepted Answer

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

Question 6

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 7

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 6%.

Accepted Answer

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

Question 8

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 9

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

Accepted Answer

A) 10.61 
B) 10.25 
C) 7.50 
D) 9.05 
E) 12.99 
A) 10.61 
B) 10.25 
C) 7.50 
D) 9.05 
E) 12.99

Question 10

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

Question 12

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 13

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 14

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 15

Find the component form of v if   and the angle it makes with the x-axis is   .

Accepted Answer

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

Question 16

Find the trigonometric form of the complex number shown below.

Accepted Answer

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

Question 17

Given   and   , determine   .

Accepted Answer

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

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

Accepted Answer

A) 30.00 sq.units 
B) 27.00 sq.units 
C) 33.00 sq.units 
D) 36.00 sq.units 
E) 24.00 sq.units 
A) 30.00 sq.units 
B) 27.00 sq.units 
C) 33.00 sq.units 
D) 36.00 sq.units 
E) 24.00 sq.units

Question 20

Plot the following complex number.

Accepted Answer

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

Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.]

Find the absolute value of the complex number .

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

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 .

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 6%.

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

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.

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 A. Round 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.

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

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

Find the component form of v if and the angle it makes with the x-axis is .

Find the trigonometric form of the complex number shown below.

Given and , determine .

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.

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

Plot the following complex number.

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

Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.]

Find the absolute value of the complex number .

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

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 .

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 6%.

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

Determine where θ\thetaθ is the angle between u and v. Round answer 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 A. Round 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.

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

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

Find the component form of v if and the angle it makes with the x-axis is .

Find the trigonometric form of the complex number shown below.

Given and , determine .

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.

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

Plot the following complex number.

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

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.