Question

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

Answer 1

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