Question 1

Solve the equation.Write complex solutions in standard form. ​   ​

Accepted Answer

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

Question 2

Find the trigonometric form of   .

Accepted Answer

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

Question 3

Perform the operation and leave the result in trigonometric form. ​   ​

Accepted Answer

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

Question 4

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

Accepted Answer

A) 5.99 + 0.78i 
B) ​5.72 + 1.8i 
C) ​4.06 + 2.76i 
D) ​-4.06 - 2.76i 
E) ​-5.72 - 1.8i 
A) 5.99 + 0.78i 
B) ​5.72 + 1.8i 
C) ​4.06 + 2.76i 
D) ​-4.06 - 2.76i 
E) ​-5.72 - 1.8i

Question 5

Plot the complex number 2.   ​

Accepted Answer

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

Question 6

Write the complex number in standard form. ​   ​

Accepted Answer

A)    i 
B) -   i 
C)    i 
D)    i 
E) -   i 
A)    i 
B) -   i 
C)    i 
D)    i 
E) -   i

Question 7

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 8

Find the product   using trigonometric forms.Leave the result in trigonometric form.

Accepted Answer

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

Question 9

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

Accepted Answer

A)    
B) 32 
C) 64 
D) -64 
E)    
A)    
B) 32 
C) 64 
D) -64 
E)

Question 10

Find the trigonometric form of   .

Accepted Answer

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

Question 11

Find the product   using trigonometric forms.Leave the result in trigonometric form.

Accepted Answer

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

Question 12

Write the quotient in standard form. ​
​   ​

Accepted Answer

A) 3 -   i 
B) 3 - 3i 
C) 3     i 
D) 3i -   
E) 3i +   
A) 3 -   i 
B) 3 - 3i 
C) 3     i 
D) 3i -   
E) 3i +

Question 13

Perform the addition or subtraction and write the result in standard form. ​   ​

Accepted Answer

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

Question 14

Perform the addition or subtraction and write the result in standard form. ​
​   ​

Accepted Answer

A) 5 
B) 7 
C) 9 
D) 8 
E) ​6 
A) 5 
B) 7 
C) 9 
D) 8 
E) ​6

Question 15

Simplify the complex number and write it in standard form. ​
​   ​

Accepted Answer

A) ​16 
B) ​-16 
C) ​16i 
D) ​​-16i 
E) ​2i 
A) ​16 
B) ​-16 
C) ​16i 
D) ​​-16i 
E) ​2i

Question 16

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answers to the nearest integer.) ​   ​

Accepted Answer

A) 64i 
B) 6i 
C) 512i 
D) -6i 
E) -512i 
A) 64i 
B) 6i 
C) 512i 
D) -6i 
E) -512i

Question 17

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

Accepted Answer

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

Question 18

Find the standard form of the complex number shown below.

Accepted Answer

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

Question 19

Find the trigonometric form of - 21 - 21i. ​

Accepted Answer

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

Question 20

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

Accepted Answer

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

Solve the equation.Write complex solutions in standard form.

Find the trigonometric form of .

Perform the operation and leave the result in trigonometric form.

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

Plot the complex number 2.

Write the complex number in standard form.

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

Find the product using trigonometric forms.Leave the result in trigonometric form.

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

Find the trigonometric form of .

Find the product using trigonometric forms.Leave the result in trigonometric form.

Write the quotient in standard form.

Perform the addition or subtraction and write the result in standard form.

Perform the addition or subtraction and write the result in standard form.

Simplify the complex number and write it in standard form.

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answers to the nearest integer.)

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

Find the standard form of the complex number shown below.

Find the trigonometric form of - 21 - 21i.

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

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 4: Complex-Numbers

Solve the equation.Write complex solutions in standard form. ​ ​

Find the trigonometric form of .

Perform the operation and leave the result in trigonometric form. ​ ​

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

Plot the complex number 2. ​

Write the complex number in standard form. ​ ​

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

Find the product using trigonometric forms.Leave the result in trigonometric form.

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

Find the trigonometric form of .

Find the product using trigonometric forms.Leave the result in trigonometric form.

Write the quotient in standard form. ​ ​ ​

Perform the addition or subtraction and write the result in standard form. ​ ​

Perform the addition or subtraction and write the result in standard form. ​ ​ ​

Simplify the complex number and write it in standard form. ​ ​ ​

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answers to the nearest integer.) ​ ​

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

Find the standard form of the complex number shown below.

Find the trigonometric form of - 21 - 21i. ​

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

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Solve the equation.Write complex solutions in standard form.

Perform the operation and leave the result in trigonometric form.

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

Plot the complex number 2.

Write the complex number in standard form.

Write the quotient in standard form.

Perform the addition or subtraction and write the result in standard form.

Perform the addition or subtraction and write the result in standard form.

Simplify the complex number and write it in standard form.

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.(Round your answers to the nearest integer.)

Find the trigonometric form of - 21 - 21i.