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Solve: polar form 1+18i — Detailed Solution | AhaStep

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📐 MathLevel 2 — 🟢 Basiccomplex_analysis👁 21 views⏱ 1 min read

Solve: polar form 1+18i

📝 Problem

polar form 1+18i

✨Detailed Solution

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1

1. 📝 Complex number:

2

2. 🧮 Modulus: |z| = √(1² + 18²) = 18.02775638

3

3. 🧮 Argument: θ = arctan(18/1) = 86.82016988° = 1.515297822 rad

4

4. ✅ Polar form: z = 18.02775638(cos86.82016988° + i·sin86.82016988°)

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Solve: polar form 19+16i