Math, asked by GopichandNishad11, 1 year ago

Prove that cosx + sinx/cosx - sinx - cosx - sinx/cosx + sinx = 2tan2x

Answers

Answered by Hacker20
53
i hope this attachments help u ......
Attachments:

kvnmurty: @superManish... If you crop the picture and trim it to only written part, then it looks better. More easily read on mobile too.. In future crop photos ..
Hacker20: ok
kvnmurty: try to learn Latex equation editor too... Please see my answer..
Answered by kvnmurty
47
Let us use the  Latex Equation Editor of Brainly...

\frac{Cos\ x+Sin\ x}{Cos\ x - Sin\ x} - \frac{Cos\ x - Sin\ x}{Cos\ x + Sin\ x}\\\\Combine \: two \: terms\\\\=\frac{(cos\ x+Sin\ x)^2-(Cos\ x - Sin\ x)^2}{Cos^2 x - Sin^2 x}\\\\=\frac{4 \: Sin\ x \: Cos\ x}{Cos \: 2x}=\frac{2 \: Sin2x}{Cos2x}=2 \: Tan2x

Proved.

kvnmurty: :-) :-) :-)
Hacker20: how get option of later equation editor
Hacker20: latex*
duragpalsingh: Pie sign comes while answering below. Click on that. In app square root option comes below while answering. Click there and type equations.
Similar questions