Question

csc(θ) − cot(θ) = sin(θ) / 1 + cos(θ)

Answer 1

Step-by-step explanation:

LHS=sin(θ) / 1 + cos(θ)

=sinθ/1+cosθ*1-cosθ/1-cosθ

=sinθ(1-cosθ)/(1+cosθ)(1-cosθ)

=1/sinθ-cosθ/sinθ

=cosecθ-cotθ

=RHS