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11-87.

Show that in can be written as cos() + i sin(). Homework Help ✎

Recall from problem 11-85 that i can be written as:

Now use DeMoivre's theorem to write in.

$\textit{i}=\textit{z}=1\left( \cos\frac{\pi}{2}+\textit{i}\sin\frac{\pi}{2} \right)$