Question

sinx/(sinx+cosx)=tanx/1+tanx)

Answer 1

rewrite the right hand side replacing tan with sin over cos, then simplify

Answer 2

\[\frac{ \sin x }{ \sin x + \cos x } = \frac{ \tan x }{ 1+ tanx }\]

L.H.S
divide the whole term with cosx

= \[\frac{ \frac{ \sin x }{ \cos x } }{ \frac{ sinx + cosx }{ \cos x } }\]
= \[\frac{ tanx }{ tanx +1 }\]
shown...

Answer 3

it is aproof , right?

Answer 4

Yes it is a proof!