<img src="https://tex.z-dn.net/?f=%20%5Ccos%28%20%5Calpha%20%20%2B%20%20%5Cfrac%7B%5Cpi%7D%7B2%7D%20%29%20%20%3D%20%20-%20%20%5C

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3 years ago

sin%28%20%5Calpha%20%29%20" id="TexFormula1" title=" \cos( \alpha + \frac{\pi}{2} ) = - \sin( \alpha ) " alt=" \cos( \alpha + \frac{\pi}{2} ) = - \sin( \alpha ) " align="absmiddle" class="latex-formula">
why is it equal

Mathematics

1 answer:

alexandr1967 [171]3 years ago

5 0

$\cos (\alpha +\frac{\pi}{2})= \cos(\frac{\pi}{2})\cos (\alpha)- \sin(\frac{\pi}{2})\sin(\alpha)\\=0-\sin(\alpha)\\=-\sin (\alpha)$

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