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Solve: polar form 3+9i — Detailed Solution | AhaStep

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📐 MathLevel 2 — 🟢 Basiccomplex_analysis👁 16 views⏱ 1 min read

Solve: polar form 3+9i

📝 Problem

polar form 3+9i

✨Detailed Solution

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1

1. 📝 Complex number:

2

2. 🧮 Modulus: |z| = √(3² + 9²) = 9.486832981

3

3. 🧮 Argument: θ = arctan(9/3) = 71.56505118° = 1.249045772 rad

4

4. ✅ Polar form: z = 9.486832981(cos71.56505118° + i·sin71.56505118°)

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Solve: polar form 19+16i