Advanced Applications of Polar Form

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Reviewed by Cierra Henderson
Cierra Henderson, MBA |
K-12 Expert
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Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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By Thames
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Thames
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Quizzes Created: 8156 | Total Attempts: 9,588,805
| Questions: 10 | Updated: Jan 20, 2026
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Question 1 / 11
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1) Multiply (r = 3, θ = 30°) m (r = 4, θ = 330°)

Explanation

3×4=12; 30°+330°=360° ≡ 0°.

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About This Quiz
Advanced Applications Of Polar Form - Quiz

Take your complex number skills to the next level! In this quiz, you’ll explore advanced applications of polar form, including roots and powers. Take this quiz to unlock deeper insights into how polar form makes challenging problems manageable.

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2) Divide (r = 18, θ = 45°) ÷ (r = 3, θ = 225°)

Explanation

18÷3=6; 45°−225°=−180° ≡ 180°.

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3) Multiply (r = 8, θ = 250°) m (r = 5, θ = 110°)

Explanation

8×5=40; 250°+110°=360° ≡ 0°.

Submit

4) Divide (r = 9, θ = 135°) ÷ (r = 3, θ = 45°)

Explanation

9÷3=3; 135°−45°=90°.

Submit

5) Multiply (r = 5, θ = 270°) m (r = 5, θ = 90°)

Explanation

5×5=25; 270°+90°=360° ≡ 180°.

Submit

6) Divide (r = 14, θ = 300°) ÷ (r = 7, θ = 60°)

Explanation

14÷7=2; 300°−60°=240°.

Submit

7) Multiply (r = 10, θ = 15°) m (r = 2, θ = 345°)

Explanation

10×2=20; 15°+345°=360° ≡ 0°.

Submit

8) Divide (r = 16, θ = 135°) ÷ (r = 2, θ = 315°)

Explanation

16÷2=8; 135°−315°=−180° ≡ 180°.

Submit

9) Multiply (r = 4, θ = 135°) m (r = 2, θ = 225°)

Explanation

4×2=8; 135°+225°=360° ≡ 180°.

Submit

10) Divide (r = 20, θ = 270°) ÷ (r = 5, θ = 90°)

Explanation

0÷5=4; 270°−90°=180°.

Submit
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Cierra Henderson |MBA |
K-12 Expert
Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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Multiply (r = 3, θ = 30°) m (r = 4, θ = 330°)
Divide (r = 18, θ = 45°) ÷ (r = 3, θ = 225°)
Multiply (r = 8, θ = 250°) m (r = 5, θ = 110°)
Divide (r = 9, θ = 135°) ÷ (r = 3, θ = 45°)
Multiply (r = 5, θ = 270°) m (r = 5, θ = 90°)
Divide (r = 14, θ = 300°) ÷ (r = 7, θ = 60°)
Multiply (r = 10, θ = 15°) m (r = 2, θ = 345°)
Divide (r = 16, θ = 135°) ÷ (r = 2, θ = 315°)
Multiply (r = 4, θ = 135°) m (r = 2, θ = 225°)
Divide (r = 20, θ = 270°) ÷ (r = 5, θ = 90°)
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