ghareebahfiddunya ghareebahfiddunya

28-11-2019
Mathematics

contestada

prove identity: sin2x-tanx=cos2xtanx

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PollyP52 PollyP52

28-11-2019

Answer:

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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