Question 1

Perform the indicated operation using trigonometric form.Leave answer in trigonometric form.

Accepted Answer

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

Question 2

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.

Accepted Answer

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

Question 3

Perform the operation and write the result in standard form. ​   ​

Accepted Answer

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

Question 4

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. ​   ​

Accepted Answer

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

Question 5

Write the complex number in trigonometric form. ​   ​

Accepted Answer

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

Question 6

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 digit.) ​   ​

Accepted Answer

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

Question 7

Find the absolute value of the complex number   . ​

Accepted Answer

A) ​   
B) ​   
C) ​68 
D) ​   
E) ​   
A) ​   
B) ​   
C) ​68 
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

Do the operation and express the answer in a + bi form. ​   ​

Accepted Answer

A) 19 - 4i 
B) - 38 - 8i 
C) 19 + 4i 
D) - 38 + 8i 
E) - 19 + 4i 
A) 19 - 4i 
B) - 38 - 8i 
C) 19 + 4i 
D) - 38 + 8i 
E) - 19 + 4i

Question 10

Find the cube roots of the following complex number.Write each of the roots in standard form. -1

Accepted Answer

A)    
B)    
C) -1 
D)    
E)    
A)    
B)    
C) -1 
D)    
E)

Question 11

Given 3+i is a root, determine all other roots of f(x)=x4 - 10x3 + 47x2 - 118x + 130. ​

Accepted Answer

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

Question 12

Find all solutions to the following equation.   ​

Accepted Answer

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

Question 13

Plot the complex number and find its absolute value. ​
-4i
​

Accepted Answer

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

Question 14

Plot the complex number and find its absolute value. ​
-2
​

Accepted Answer

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

Question 15

Represent the complex number graphically, and find the trigonometric form of the number. ​   ​

Accepted Answer

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

Question 16

Use DeMoivre's theorem to find the indicated roots of the complex number. ​
Sixth roots of   i
​

Accepted Answer

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

Question 17

Do the operation and express the answer in a + bi form.Use fractions in your answer.
​

Accepted Answer

The answer of Do the operation and express the answer...

Question 18

Find the absolute value of the complex number -3 + 5i.

Accepted Answer

A)    
B) ​   
C) ​34 
D) ​   
E) ​   
A)    
B) ​   
C) ​34 
D) ​   
E) ​

Question 19

Plot the complex number and find its absolute value. ​
-5 + 9i
​

Accepted Answer

A) ​   ​
|-5 + 9i| =   
B) ​   ​
|-5 + 9i| =   
C) ​   ​
|-5 + 9i| =   
D) ​   ​
|-5 + 9i| =   
E) ​   ​
|-5 + 9i| =   
A) ​   ​
|-5 + 9i| =   
B) ​   ​
|-5 + 9i| =   
C) ​   ​
|-5 + 9i| =   
D) ​   ​
|-5 + 9i| =   
E) ​   ​
|-5 + 9i| =

Question 20

Do the operation and express the answer in a + bi form. ​   ​

Accepted Answer

A) -17i 
B) -85i 
C) -17 
D) 17i 
E) 17 
A) -17i 
B) -85i 
C) -17 
D) 17i 
E) 17

Perform the indicated operation using trigonometric form.Leave answer in trigonometric form.

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.

Perform the operation and write the result in standard form.

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.

Write the complex number in trigonometric 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 digit.)

Find the absolute value of the complex number .

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

Do the operation and express the answer in a + bi form.

Find the cube roots of the following complex number.Write each of the roots in standard form. -1

Given 3+i is a root, determine all other roots of f(x)=x⁴ - 10x³ + 47x² - 118x + 130.

Find all solutions to the following equation.

Plot the complex number and find its absolute value. -4i

Plot the complex number and find its absolute value. -2

Represent the complex number graphically, and find the trigonometric form of the number.

Use DeMoivre's theorem to find the indicated roots of the complex number. Sixth roots of i

Do the operation and express the answer in a + bi form.Use fractions in your answer. $Do the operation and express the answer in a + bi form.Use fractions in your answer. $

Find the absolute value of the complex number -3 + 5i.

Plot the complex number and find its absolute value. -5 + 9i

Do the operation and express the answer in a + bi form.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 4: Complex-Numbers

Perform the indicated operation using trigonometric form.Leave answer in trigonometric form.

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.

Perform the operation and write the result in standard form. ​ ​

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. ​ ​

Write the complex number in trigonometric 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 digit.) ​ ​

Find the absolute value of the complex number . ​

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

Do the operation and express the answer in a + bi form. ​ ​

Find the cube roots of the following complex number.Write each of the roots in standard form. -1

Given 3+i is a root, determine all other roots of f(x)=x4 - 10x3 + 47x2 - 118x + 130. ​

Find all solutions to the following equation. ​

Plot the complex number and find its absolute value. ​ -4i ​

Plot the complex number and find its absolute value. ​ -2 ​

Represent the complex number graphically, and find the trigonometric form of the number. ​ ​

Use DeMoivre's theorem to find the indicated roots of the complex number. ​ Sixth roots of i ​

Do the operation and express the answer in a + bi form.Use fractions in your answer. ​

Find the absolute value of the complex number -3 + 5i.

Plot the complex number and find its absolute value. ​ -5 + 9i ​

Do the operation and express the answer in a + bi form. ​ ​

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Perform the operation and write the result in standard form.

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form.

Write the complex number in trigonometric 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 digit.)

Find the absolute value of the complex number .

Do the operation and express the answer in a + bi form.

Given 3+i is a root, determine all other roots of f(x)=x⁴ - 10x³ + 47x² - 118x + 130.

Find all solutions to the following equation.

Plot the complex number and find its absolute value. -4i

Plot the complex number and find its absolute value. -2

Represent the complex number graphically, and find the trigonometric form of the number.

Use DeMoivre's theorem to find the indicated roots of the complex number. Sixth roots of i

Do the operation and express the answer in a + bi form.Use fractions in your answer. $Do the operation and express the answer in a + bi form.Use fractions in your answer. $

Plot the complex number and find its absolute value. -5 + 9i

Do the operation and express the answer in a + bi form.