Question 1

Write the complex number in trigonometric form. Begin by sketching the graph to help find the argument θ .

Accepted Answer

The answer of Write the complex number in trigonometric form....

Question 2

Graph the complex number along with its opposite and conjugate.   ​

Accepted Answer

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B) ​   
C) ​   
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Question 3

Convert to polar coordinates. Use a calculator to find to the nearest tenth of a degree. Keep r positive and    between   and   ​

Accepted Answer

The answer of Convert to polar coordinates. Use a calculator...

Question 4

Convert the equation to polar coordinates and then sketch the graph.   ​

Accepted Answer

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Question 5

Divide. Leave your answer in trigonometric form. ​   ​

Accepted Answer

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E)    
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Question 6

Use DeMoivre's Theorem to find the following. Write your answer in standard form. 
​

Accepted Answer

The answer of Use DeMoivre's Theorem to find the following....

Question 7

Find the 4 fourth roots of ​   ​ 
Leave your answers in trigonometric form.

Accepted Answer

The answer of Find the 4 fourth roots of ​...

Question 8

Find three cube roots for the complex number. Leave your answers in trigonometric form.

Accepted Answer

The answer of Find three cube roots for the complex...

Question 9

Use your graphing calculator to convert the complex number to trigonometric form. Round the angle to the nearest hundredth of a degree.   ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E) ​   
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B) ​   
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Question 10

Write the equation in polar coordinates.   ​

Accepted Answer

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C)    
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E)    
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B)    
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Question 11

Find two square roots for the complex number. Write your answer in standard form.

Accepted Answer

The answer of Find two square roots for the complex...

Question 12

Find three cube roots for the complex number. Leave your answers in trigonometric form.   ​

Accepted Answer

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

Question 13

Let    and    and find   . ​

Accepted Answer

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Question 14

Use your graphing calculator to convert the complex number to trigonometric form. Round the angle to the nearest hundredth of a degree.   ​

Accepted Answer

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B) ​   
C) ​   
D) ​   
E) ​   
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Question 15

Divide. Leave your answer in trigonometric form.   ​

Accepted Answer

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B) ​   
C) ​   
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Question 16

Write the complex number in trigonometric form. Round the angle to the nearest hundredth of a degree.

Accepted Answer

The answer of Write the complex number in trigonometric form....

Question 17

If z is a complex number then the product of z and its conjugate is a real number. ​

Accepted Answer

A) false 
B) true 
A) false 
B) true

Question 18

Multiply. Leave the answer in trigonometric form.     ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   
C) ​   
D) ​   
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Question 19

Use a calculator to help write the complex number in standard form. Round the numbers in your answer to the nearest hundredth. ​   ​

Accepted Answer

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

Question 20

Find two square roots for the complex number. Write your answer in standard form.

Accepted Answer

The answer of Find two square roots for the complex...

Write the complex number in trigonometric form. Begin by sketching the graph to help find the argument θ .

Graph the complex number along with its opposite and conjugate.

Convert to polar coordinates. Use a calculator to find to the nearest tenth of a degree. Keep r positive and between and

Convert the equation to polar coordinates and then sketch the graph.

Divide. Leave your answer in trigonometric form.

Use DeMoivre's Theorem to find the following. Write your answer in standard form.

Find the 4 fourth roots of Leave your answers in trigonometric form.

Find three cube roots for the complex number. Leave your answers in trigonometric form.

Use your graphing calculator to convert the complex number to trigonometric form. Round the angle to the nearest hundredth of a degree.

Write the equation in polar coordinates.

Find two square roots for the complex number. Write your answer in standard form.

Find three cube roots for the complex number. Leave your answers in trigonometric form.

Let and and find .

Use your graphing calculator to convert the complex number to trigonometric form. Round the angle to the nearest hundredth of a degree.

Divide. Leave your answer in trigonometric form.

Write the complex number in trigonometric form. Round the angle to the nearest hundredth of a degree.

If z is a complex number then the product of z and its conjugate is a real number.

Multiply. Leave the answer in trigonometric form.

Use a calculator to help write the complex number in standard form. Round the numbers in your answer to the nearest hundredth.

Find two square roots for the complex number. Write your answer in standard form.

The Six Trigonometric Functions

Right Triangle Trigonometry

Radian Measure

Graphing and Inverse Functions

Identities and Formulas

Equations

Triangles

Filters

Exam 8: Complex Numbers and Polar Coordinates

Write the complex number in trigonometric form. Begin by sketching the graph to help find the argument θ .

Graph the complex number along with its opposite and conjugate. ​

Convert to polar coordinates. Use a calculator to find to the nearest tenth of a degree. Keep r positive and between and ​

Convert the equation to polar coordinates and then sketch the graph. ​

Divide. Leave your answer in trigonometric form. ​ ​

Use DeMoivre's Theorem to find the following. Write your answer in standard form. ​

Find the 4 fourth roots of ​ ​ Leave your answers in trigonometric form.

Find three cube roots for the complex number. Leave your answers in trigonometric form.

Use your graphing calculator to convert the complex number to trigonometric form. Round the angle to the nearest hundredth of a degree. ​

Write the equation in polar coordinates. ​

Find two square roots for the complex number. Write your answer in standard form.

Find three cube roots for the complex number. Leave your answers in trigonometric form. ​

Let and and find . ​

Use your graphing calculator to convert the complex number to trigonometric form. Round the angle to the nearest hundredth of a degree. ​

Divide. Leave your answer in trigonometric form. ​

Write the complex number in trigonometric form. Round the angle to the nearest hundredth of a degree.

If z is a complex number then the product of z and its conjugate is a real number. ​

Multiply. Leave the answer in trigonometric form. ​

Use a calculator to help write the complex number in standard form. Round the numbers in your answer to the nearest hundredth. ​ ​

Find two square roots for the complex number. Write your answer in standard form.

The Six Trigonometric Functions

Right Triangle Trigonometry

Radian Measure

Graphing and Inverse Functions

Identities and Formulas

Equations

Triangles

Filters

Graph the complex number along with its opposite and conjugate.

Convert to polar coordinates. Use a calculator to find to the nearest tenth of a degree. Keep r positive and between and

Convert the equation to polar coordinates and then sketch the graph.

Divide. Leave your answer in trigonometric form.

Use DeMoivre's Theorem to find the following. Write your answer in standard form.

Find the 4 fourth roots of Leave your answers in trigonometric form.

Use your graphing calculator to convert the complex number to trigonometric form. Round the angle to the nearest hundredth of a degree.

Write the equation in polar coordinates.

Find three cube roots for the complex number. Leave your answers in trigonometric form.

Let and and find .

Use your graphing calculator to convert the complex number to trigonometric form. Round the angle to the nearest hundredth of a degree.

Divide. Leave your answer in trigonometric form.

If z is a complex number then the product of z and its conjugate is a real number.

Multiply. Leave the answer in trigonometric form.

Use a calculator to help write the complex number in standard form. Round the numbers in your answer to the nearest hundredth.