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If z=r e^(itheta) , then prove that |e^(...

If `z=r e^(itheta)` , then prove that `|e^(i z)|=e^(-r s inthetadot)`

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To prove that \(|e^{iz}| = e^{-r \sin \theta}\) given that \(z = r e^{i\theta}\), we will follow these steps: ### Step 1: Substitute \(z\) in the expression Given \(z = r e^{i\theta}\), we can write: \[ e^{iz} = e^{i(r e^{i\theta})} \] ...
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