# How do you prove sin2x = 2sinxcosx ?

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Oct 24, 2016

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The question appears to be in Spanish and I am answering in English. I hope answer will satisfy you.

Recall formulas for trigonometric ratios of sum of angles, particularly

$\sin \left(A + B\right) = \sin A \cos B + \cos A \sin B$

if $A$ and $B$ both are equal to $x$

this becomes

$\sin \left(x + x\right) = \sin x \cos x + \sin x \cos x = 2 \sin x \cos x$

or $\sin 2 x = 2 \sin x \cos x$

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