Question 1

Find the trigonometric form of the complex number represented graphically.

Accepted Answer

A) 3   (cos(3π/4) + isin(3π/4)) 
B) -3(cos(7π/4) + isin(7π/4)) 
C) 3   (cos(7π/4) + isin(7π/4)) 
D) -3   (cos(3π/4) + isin(3π/4)) 
E) ​3   (cos(5π/4) + isin(5π/4)) 
A) 3   (cos(3π/4) + isin(3π/4)) 
B) -3(cos(7π/4) + isin(7π/4)) 
C) 3   (cos(7π/4) + isin(7π/4)) 
D) -3   (cos(3π/4) + isin(3π/4)) 
E) ​3   (cos(5π/4) + isin(5π/4)) C

Question 2

Find the indicated power.Write the answer in standard form. ​   ​

Accepted Answer

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

Question 3

Write the following roots in standard form.(Round your answer to four decimal places.) ​
Cube roots of   ​

Accepted Answer

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

Question 4

Write the quotient in standard form. ​
​   ​

Accepted Answer

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

Question 5

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 6

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

Accepted Answer

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

Question 7

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

Accepted Answer

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

Question 8

Use DeMoivre's theorem to find all the solutions of the equation and represent the solutions graphically.(Round your answer to four decimal places.) ​   ​

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 complex number.Write the result in standard form. ​   ​

Accepted Answer

A) 6 
B) 1,679,616 
C) - 6 
D)    
E) - 1,679,616 
A) 6 
B) 1,679,616 
C) - 6 
D)    
E) - 1,679,616

Question 10

Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places. ​   ​

Accepted Answer

A) 7.9465 + 4.2252i 
B) 4.2252 + 7.9465i 
C) 4.2252 - 7.9465i 
D) 7.9465 - 4.2252i 
E) None of the above 
A) 7.9465 + 4.2252i 
B) 4.2252 + 7.9465i 
C) 4.2252 - 7.9465i 
D) 7.9465 - 4.2252i 
E) None of the above

Question 11

Write the complex number shown below in trigonometric form.

Accepted Answer

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

Question 12

Find all zeros of the function f(x)=x2(x + 1)(x3 - 216). ​

Accepted Answer

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

Question 13

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 14

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 15

Write the quotient 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 16

Find a polynomial with real coefficients that has zeros -3, 3, 2 +   i, and 2 -   i. ​

Accepted Answer

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

Question 17

Find the trigonometric form of the complex number shown below. ​
​-8

Accepted Answer

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

Question 18

Multiply the complex numbers.Write the answer in trigonometric form. ​   ​

Accepted Answer

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

Question 19

Represent the complex number graphically, and find the trigonometric form of the number. ​
12i
​

Accepted Answer

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

Question 20

Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places. ​   ​

Accepted Answer

A) 4.3301 + 2.5i 
B) 2.5 + 4.3301i 
C) 2.5 - 4.3301i 
D) 4.3301 - 2.5i 
E) None of the above 
A) 4.3301 + 2.5i 
B) 2.5 + 4.3301i 
C) 2.5 - 4.3301i 
D) 4.3301 - 2.5i 
E) None of the above

Find the trigonometric form of the complex number represented graphically.

Find the indicated power.Write the answer in standard form.

Write the following roots in standard form.(Round your answer to four decimal places.) Cube roots of

Write the quotient in standard form.

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

Perform the operation and leave the result in trigonometric form.

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

Use DeMoivre's theorem to find all the solutions of the equation and represent the solutions graphically.(Round your answer to four decimal places.)

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

Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places.

Write the complex number shown below in trigonometric form.

Find all zeros of the function f(x)=x²(x + 1)(x³ - 216).

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

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

Write the quotient in standard form.

Find a polynomial with real coefficients that has zeros -3, 3, 2 + i, and 2 - i.

Find the trigonometric form of the complex number shown below. -8

Multiply the complex numbers.Write the answer in trigonometric form.

Represent the complex number graphically, and find the trigonometric form of the number. 12i

Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 4: Complex-Numbers

Find the trigonometric form of the complex number represented graphically.

Find the indicated power.Write the answer in standard form. ​ ​

Write the following roots in standard form.(Round your answer to four decimal places.) ​ Cube roots of ​

Write the quotient in standard form. ​ ​ ​

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

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

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

Use DeMoivre's theorem to find all the solutions of the equation and represent the solutions graphically.(Round your answer to four decimal places.) ​ ​

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

Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places. ​ ​

Write the complex number shown below in trigonometric form.

Find all zeros of the function f(x)=x2(x + 1)(x3 - 216). ​

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

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

Write the quotient in standard form. ​ ​

Find a polynomial with real coefficients that has zeros -3, 3, 2 + i, and 2 - i. ​

Find the trigonometric form of the complex number shown below. ​ ​-8

Multiply the complex numbers.Write the answer in trigonometric form. ​ ​

Represent the complex number graphically, and find the trigonometric form of the number. ​ 12i ​

Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places. ​ ​

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Exponential-And-Logarithmic-Functions

Topics-In-Analytic-Geometry

Prerequisites

Filters

Find the indicated power.Write the answer in standard form.

Write the following roots in standard form.(Round your answer to four decimal places.) Cube roots of

Write the quotient in standard form.

Perform the operation and leave the result in trigonometric form.

Use DeMoivre's theorem to find all the solutions of the equation and represent the solutions graphically.(Round your answer to four decimal places.)

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

Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places.

Find all zeros of the function f(x)=x²(x + 1)(x³ - 216).

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

Write the quotient in standard form.

Find a polynomial with real coefficients that has zeros -3, 3, 2 + i, and 2 - i.

Find the trigonometric form of the complex number shown below. -8

Multiply the complex numbers.Write the answer in trigonometric form.

Represent the complex number graphically, and find the trigonometric form of the number. 12i

Use a graphing utility to represent the complex number in standard form.Round your answer to 4 decimal places.