De Moivre's Theorem ((cos θ + i sin θ)^n = cos nθ + i sin nθ)
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(cos θ + i sin θ)^n = cos nθ + i sin nθ
What each symbol means
| Symbol | What it stands for |
|---|---|
| n | Integer (theorem extends to rational n with branch care for general z^n) |
| θ | Real angle |
When to use this
Standard form for unit-modulus complex number. For (re^(iθ))^n = r^n e^(inθ).