Question 1

Write the complex number in standard form.

Accepted Answer

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

Question 2

Convert to polar coordinates with    and   between   and   ​(-21, 12   ) ​

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Question 3

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

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Question 4

Convert complex numbers to trigonometric form and then simplify the expression. Write the answer in standard form.   ​

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Question 5

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 6

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 7

DeMoivre's Theorem can be used to find reciprocals of complex numbers. Recall from algebra that the reciprocal of x is   , which can be expressed as   Use this fact, along with DeMoivre's Theorem, to find the reciprocal of the number below. ​   ​

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Question 8

Solve the equation.

Accepted Answer

The answer of Solve the equation.  ...

Question 9

Use your graphing calculator in polar mode to generate solutions for the equation using values of θ  that are multiples of 15°. Sketch the graph of the equation using the values from your table.   ​

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Question 10

Simplify the power of i .

Accepted Answer

The answer of Simplify the power of i . ...

Question 11

Convert to rectangular coordinates. Use exact values.

Accepted Answer

The answer of Convert to rectangular coordinates. Use exact values....

Question 12

Solve the equation. Leave your solution in trigonometric form.   ​

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Question 13

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 14

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

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Question 15

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

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Question 16

Solve the equation. Leave your solution in trigonometric form.   ​

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Question 17

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

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Question 18

Combine the complex numbers.   ​

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Question 19

Graph the equation.   ​

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Question 20

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

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Write the complex number in standard form.

Convert to polar coordinates with and between and (-21, 12 )

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

Convert complex numbers to trigonometric form and then simplify the expression. Write the answer in standard form.

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

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

DeMoivre's Theorem can be used to find reciprocals of complex numbers. Recall from algebra that the reciprocal of x is , which can be expressed as Use this fact, along with DeMoivre's Theorem, to find the reciprocal of the number below.

Solve the equation.

Use your graphing calculator in polar mode to generate solutions for the equation using values of θ that are multiples of 15°. Sketch the graph of the equation using the values from your table.

Simplify the power of i .

Convert to rectangular coordinates. Use exact values.

Solve the equation. Leave your solution in trigonometric form.

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

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

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

Solve the equation. Leave your solution in trigonometric form.

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

Combine the complex numbers.

Graph the equation.

Use DeMoivre's Theorem to find the following. 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 standard form.

Convert to polar coordinates with and between and ​(-21, 12 ) ​

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

Convert complex numbers to trigonometric form and then simplify the expression. Write the answer in standard form. ​

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

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

DeMoivre's Theorem can be used to find reciprocals of complex numbers. Recall from algebra that the reciprocal of x is , which can be expressed as Use this fact, along with DeMoivre's Theorem, to find the reciprocal of the number below. ​ ​

Solve the equation.

Use your graphing calculator in polar mode to generate solutions for the equation using values of θ that are multiples of 15°. Sketch the graph of the equation using the values from your table. ​

Simplify the power of i .

Convert to rectangular coordinates. Use exact values.

Solve the equation. Leave your solution in trigonometric form. ​

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

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

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

Solve the equation. Leave your solution in trigonometric form. ​

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

Combine the complex numbers. ​

Graph the equation. ​

Use DeMoivre's Theorem to find the following. 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

Convert to polar coordinates with and between and (-21, 12 )

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

Convert complex numbers to trigonometric form and then simplify the expression. Write the answer in standard form.

DeMoivre's Theorem can be used to find reciprocals of complex numbers. Recall from algebra that the reciprocal of x is , which can be expressed as Use this fact, along with DeMoivre's Theorem, to find the reciprocal of the number below.

Use your graphing calculator in polar mode to generate solutions for the equation using values of θ that are multiples of 15°. Sketch the graph of the equation using the values from your table.

Solve the equation. Leave your solution in trigonometric form.

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

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

Solve the equation. Leave your solution in trigonometric form.

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

Combine the complex numbers.

Graph the equation.

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