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Solve: polar form 1+8i — Detailed Solution | AhaStep

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📐 MathLevel 2 — 🟢 Basiccomplex_analysis👁 19 views⏱ 1 min read

Solve: polar form 1+8i

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polar form 1+8i

✨Detailed Solution

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1

1. 📝 Complex number:

2

2. 🧮 Modulus: |z| = √(1² + 8²) = 8.062257748

3

3. 🧮 Argument: θ = arctan(8/1) = 82.87498365° = 1.446441332 rad

4

4. ✅ Polar form: z = 8.062257748(cos82.87498365° + i·sin82.87498365°)

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Solve: polar form 13+17i