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Solve: polar form 10+20i — Detailed Solution | AhaStep

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📐 MathLevel 2 — 🟢 Basiccomplex_analysis👁 14 views⏱ 1 min read

Solve: polar form 10+20i

📝 Problem

polar form 10+20i

✨Detailed Solution

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1

1. 📝 Complex number:

2

2. 🧮 Modulus: |z| = √(10² + 20²) = 22.36067977

3

3. 🧮 Argument: θ = arctan(20/10) = 63.43494882° = 1.107148718 rad

4

4. ✅ Polar form: z = 22.36067977(cos63.43494882° + i·sin63.43494882°)

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📐 Lv.2

Solve: polar form 19+16i