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Solve: polar form 4+14i — Detailed Solution | AhaStep

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

Solve: polar form 4+14i

📝 Problem

polar form 4+14i

✨Detailed Solution

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1

1. 📝 Complex number:

2

2. 🧮 Modulus: |z| = √(4² + 14²) = 14.56021978

3

3. 🧮 Argument: θ = arctan(14/4) = 74.0546041° = 1.292496668 rad

4

4. ✅ Polar form: z = 14.56021978(cos74.0546041° + i·sin74.0546041°)

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Solve: polar form 13+17i