# Prove the identity: cos ((pi)/2 - x)=sin x

Prove the identity:
$\mathrm{cos}\left(\frac{\pi }{2}-x\right)=\mathrm{sin}x$
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Miles Mueller
$\mathrm{cos}\left(\frac{\pi }{2}-x\right)=\mathrm{sin}x$
$\mathrm{cos}\left(A±B\right)=\mathrm{cos}A\mathrm{cos}B±\mathrm{sin}A\mathrm{sin}B$
$\mathrm{cos}\left(\frac{\pi }{2}-x\right)=\mathrm{cos}\frac{\pi }{2}\mathrm{cos}x+\mathrm{sin}\frac{\pi }{2}\mathrm{sin}x$
$=0\ast \mathrm{cos}x+1\ast \mathrm{sin}x$
$=\mathrm{sin}x$
Jeffrey Jordon