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Solve: polar form 19+16i — Detailed Solution | AhaStep

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

Solve: polar form 19+16i

📝 Problem

polar form 19+16i

✨Detailed Solution

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1

1. 📝 Complex number:

2

2. 🧮 Modulus: |z| = √(19² + 16²) = 24.8394847

3

3. 🧮 Argument: θ = arctan(16/19) = 40.10090755° = 0.6998928697 rad

4

4. ✅ Polar form: z = 24.8394847(cos40.10090755° + i·sin40.10090755°)

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Solve: polar form 15+6i