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

Question 423744: please help me prove tan x = 2 sin x cos x/ 1+cos^2 x-sin^2 x
Answer by lwsshak3(11628) (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
..
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

RELATED QUESTIONS
please help me prove the identity... (answered by Timnewman,Alan3354)

Prove the identity: {{{cos(x)/(1-sin(x)) + cos(x)/(1+sin(x)) =... (answered by DAWNPLAYA,Boreal)

prove 2 sin x 1 - sin ^ 2 x/2 cos x sin x equals cos... (answered by hamsanash1981@gmail.com)

Sin(x).tan(x)/cos(x) + 1 = 1/cos^2(x) Prove the... (answered by Alan3354)

Prove the identity: {{{tan(x) /( 1 + (tan(x))^2) = sin(x)cos(x)}}} (x is... (answered by jim_thompson5910)

Prove that each is an identity (sin 2 x + sin x)/ (cos 2 x + cos x + 1) = tan... (answered by lwsshak3)

please help me solve this problem verify identities cos^2(x) cos(x) ------ (answered by stanbon)

Prove the following trig identity: tan x *sin^2 x + sin x*cos x = tan... (answered by greenestamps)

please help me to prove this. Thank you. (cos(1/2 x)+sin(1/2 x))/(cos (1/2 x)-(sin(1/2... (answered by Alan3354)