Advanced Applications of Polar Form

  • 12th Grade
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| By Thames
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Thames
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Quizzes Created: 8157 | Total Attempts: 9,569,759
| Questions: 10 | Updated: Dec 10, 2025
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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°.

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

Explanation

9÷3=3; 135°−45°=90°.

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

Explanation

5×5=25; 270°+90°=360° ≡ 180°.

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

Explanation

14÷7=2; 300°−60°=240°.

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

Explanation

10×2=20; 15°+345°=360° ≡ 0°.

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

Explanation

16÷2=8; 135°−315°=−180° ≡ 180°.

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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°.

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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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