Sinx/1+cosx = cscx-cotx prove ls=rs

L S = sin x / (1 + cos x) * (1 - cos x) / (1 - cos x) =

= sin x (1 - cos x) / (1 - cos² x) =

= (sin x - sin x cos x) / sin² x =

= sin x / sin² x - (sin x cos x) / sin² x =

= 1 / sin x - cos x / sin x = csc x - cot x = RS

Therefore: LS = RS