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Year 12 Specialist (Unit 3 & 4) Mathematical induction and trigonometric proofs

De Moivre trigonometric proofs

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Questions
Question 1
195959
De Moivre's theorem gives the power \((\cos\theta+i\sin\theta)^n\) as a single trigonometric expression. For a positive integer \(n\), which of the following is correct?
\(\cos n\theta+i\sin n\theta\)

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