Question

Prove that cos0/1-tan0 +sin 2 0 /1-cot0 =sin0 +cos0

Answer 1

LHS = 1/(1-0) + 0/(1-cot0)    [since, cos0 = 1, tan0 = 0, sin0 = 0] = 1 r.h.s. = 1 + 0 = 1                     [since, cos0 = 1, sin0 = 0] Therefore, lhs. = RHS