Expressing sin θ + i cos θ as r e^(iθ) and other variations
Express the following complex numbers in the form $z=r{{e}^{\text{i}\theta }}$, where $r\ge 0$ and $-\pi <\theta \le \pi $,
(i)
$\cos \theta -\text{i sin}\theta $
(ii)
$\sin \theta -\text{i cos}\theta $
(iii)
$-\sin \theta +\text{i cos}\theta $
(iv)
$-\sin \theta -\text{i cos}\theta $
Suggested Video Solutions
Suggested Handwritten Solutions
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