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Year 12 Maths Extension 2 Complex Numbers

Eulers Theorem

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Questions
Question 1
21635

Given that \(z = \cos \theta + i\sin \theta = {e^{i\theta }}\) and \(z - \frac{1}{z} = k\sin \theta \), the value of \(k\) is?

\(k=2i\)

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