Question

prove the identity: (cosec theta - cot theta)2=1-costheta/1+costheta​

Answer 1

Answer:

We have,

(cosecθ−cotθ)^ 2

=( 1/ sinθ) − cosθ/sinθ)^2

=( 1-cosθ/sin θ ) ^2

= (1−cosθ) ^2/ sin^2θ

= (1−cosθ)^2/1−cos^2θ

= (1−cosθ)^2/(1+-cosθ)(1+cosθ)

= 1-cosθ/1+cosθ