Question

1-cos theta/sin theta=tan theta/2

Answer 1

Answer:

How to prove 1+sinθ−cosθ1+cosθ+sinθ=tan(θ2)?

Trigonometry

1 Answer



P dilip_k

Jul 10, 2017

LHS=1+sinθ−cosθ1+cosθ+sinθ

=sinθ(1+sinθ−cosθ)sinθ(1+cosθ+sinθ)

=sinθ+sin2θ−sinθcosθsinθ(1+cosθ+sinθ)

=sinθ−sinθcosθ+(1−cos2θ)sinθ(1+cosθ+sinθ)

=sinθ(1−cosθ)+(1−cos2θ)sinθ(1+cosθ+sinθ)