Question

show that √1 – cos ∅/√1+cos∅ =cosec∅- cot ∅​

Answer 1

Answer:

LHS =1+cosθ1−cosθ

Multiply and divide by LHS by (1−cosθ)

      =1+cosθ1−cosθ×1−cosθ1−cosθ

      =1−cos2θ(1−cosθ)2

      =sinθ1−cosθ

      

      =sinθ1−sinθcosθ

      =cosecθ−cotθ

      =RHS