Functions of complex variables
Engineering Mathematics · Engineering
Study notes
Evaluate (1+i)⁴ using polar form. 1+i = √2 ∠45°. Then (1+i)⁴ = (√2)⁴ ∠(4×45°) = 4∠180° = −4. Check by algebra: (1+i)² = 2i, (2i)² = −4 ✓
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Engineering Mathematics · Engineering
Evaluate (1+i)⁴ using polar form. 1+i = √2 ∠45°. Then (1+i)⁴ = (√2)⁴ ∠(4×45°) = 4∠180° = −4. Check by algebra: (1+i)² = 2i, (2i)² = −4 ✓