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

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📐 MathLevel 2 — 🟢 Basiccomplex_analysis👁 17 views⏱ 1 min read

Solve: polar form 20+10i

📝 Problem

polar form 20+10i

✨Detailed Solution

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1

1. 📝 Complex number:

2

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

3

3. 🧮 Argument: θ = arctan(10/20) = 26.56505118° = 0.463647609 rad

4

4. ✅ Polar form: z = 22.36067977(cos26.56505118° + i·sin26.56505118°)

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Solve: polar form 19+16i