Question

Evaluate (1−cosθ)(1+secθ)=tanθ?

Answer 1

(1-cosθ)(1+secθ)=tanθ

(1-cosθ+secθ-cosθsecθ)=tanθ

(1-cosθ+1/cosθ-1)=tanθ

1-cos^2θ/cosθ=tanθ

sin^2θ/cosθ=tanθ

tanθ=tanθ