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26 August, 13:42

Prove identity: sin2x-tanx=cos2xtanx

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  1. 26 August, 14:06
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    See below.

    Step-by-step explanation:

    sin2x-tanx

    = 2sinx cosx - sinx/cos

    = (2sinx cos^2x - sin x) / cos x

    = sinx (2 cos^2x - 1) / cos x

    Now sin x / cos x = tanx and 2 cos^2 x - 1 = cos2x

    so this simplifies to cos2x tan x.
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