Question 1

Find the trigonometric form of the complex number shown below.

Accepted Answer

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

Question 2

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 D

Question 3

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

Accepted Answer

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

Question 4

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) 9.25 
B) 13.55 
C) 17.84 
D) 10.33 
E) 11.40 
A) 9.25 
B) 13.55 
C) 17.84 
D) 10.33 
E) 11.40

Question 5

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 6

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

Accepted Answer

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

Question 7

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 8

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 9

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 10

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 11

Find the trigonometric form of the complex number shown below.

Accepted Answer

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

Question 12

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 13

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 14

Represent the complex number below graphically.

Accepted Answer

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

Question 15

Given that Force 1 = 70 pounds and Force 2 = 120 pounds, find the angle between the forces if the magnitude of the resultant force is 90 pounds. Round answer to the nearest degree.

Accepted Answer

A) 60° 
B) 40° 
C) 53° 
D) 45° 
E) 48° 
A) 60° 
B) 40° 
C) 53° 
D) 45° 
E) 48°

Question 16

Find the trigonometric form of the complex number represented graphically.

Accepted Answer

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

Question 17

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

Accepted Answer

A) 28.61 sq.units 
B) 21.46 sq.units 
C) 19.07 sq.units 
D) 23.84 sq.units 
E) 26.22 sq.units 
A) 28.61 sq.units 
B) 21.46 sq.units 
C) 19.07 sq.units 
D) 23.84 sq.units 
E) 26.22 sq.units

Question 18

Find all solutions to the following equation.

Accepted Answer

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

Question 19

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 20

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

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

Find the trigonometric form of the complex number shown below.

Given vectors and determine the quantity indicated below.

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

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

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 magnitude of vector v with initial point and terminal point .

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

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

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

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

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 that Force 1 = 70 pounds and Force 2 = 120 pounds, find the angle between the forces if the magnitude of the resultant force is 90 pounds. Round answer to the nearest degree.

Find the trigonometric form of the complex number represented graphically.

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

Find all solutions to the following equation.

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

Algebraic Expressions and Equations

Filters

Exam 7: Additional Topics in Trigonometry

Find the trigonometric form of the complex number shown below.

Given vectors and determine the quantity indicated below.

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

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

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 magnitude of vector v with initial point and terminal point .

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

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

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

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

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 that Force 1 = 70 pounds and Force 2 = 120 pounds, find the angle between the forces if the magnitude of the resultant force is 90 pounds. Round answer to the nearest degree.

Find the trigonometric form of the complex number represented graphically.

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

Find all solutions to the following equation.

Given , , and , use the Law of Cosines to solve the triangle for the value of C. 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.

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