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Mathematics
Lili
16 January, 08:04
Prove identity: sin2x-tanx=cos2xtanx
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Kobe Jarvis
16 January, 09:58
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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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