SOLUTION: please help me prove tan x = 2 sin x cos x/ 1+cos^2 x-sin^2 x

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Question 423744: please help me prove tan x = 2 sin x cos x/ 1+cos^2 x-sin^2 x
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
please help me prove tan x = 2 sin x cos x/ 1+cos^2 x-sin^2 x
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tan x=2sinxcosx/1+cos^2x-sin^2x
Starting with the right side
2sinxcosx/1+cos^2x-sin^2x
1=sin^2x+cos^x
=2sinxcosx/sin^2x+cos^2x+cos^2x-sin^2x
=2sinxcosx/2cos^2x
=sinxcosx/cos^2x
=sinx/cosx
=tanx
confirmed: right side = left side