Start learning →

DeMoivre's theorem: (cos θ + i sin θ)ⁿ equals:

Acosⁿ θ + i sinⁿ θ
Bcos θ + n i sin θ
Ccos(nθ) + i sin(nθ)
Dn(cos θ + i sin θ)
Answer & Solution
Correct answer: C. cos(nθ) + i sin(nθ)
**DeMoivre's theorem:** (cos θ + i sin θ)ⁿ = cos(nθ) + i sin(nθ) for any integer n. Equivalent to (e^(iθ))ⁿ = e^(inθ).
Practise this question with Quill — AP Calculus AB →

Keep practising Unit 3B: Implicit Differentiation and Inverse Functions

Browse all Unit 3B: Implicit Differentiation and Inverse Functions questions for AP Calculus AB, or explore more Mathematics topics.

Start a Unit 3B: Implicit Differentiation and Inverse Functions lesson →