# What is sin(x) times sin(x)?

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Alan P. Share
Apr 16, 2015

$\sin \left(x\right) \times \sin \left(x\right) = {\sin}^{2} \left(x\right)$

There are other answers, for example,
since ${\sin}^{2} \left(x\right) + {\cos}^{2} \left(x\right) = 1$
you could write
$\sin \left(x\right) \times \sin \left(x\right) = 1 - {\cos}^{2} \left(x\right)$
(but that's not much of a simplification)

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