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prove the identity from left to right sin^5x = (1-2cos^2x+cos^4x)sinx
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\[\sin^5x= \sin x (\sin ^2 x )^2 \] \[= \sin x(1-\cos^2 x)^2 \] \[= \sin x(1- 2\cos ^2 x + \cos^4 x)\]
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