Question

show that ( cosec teeta- cot teeta)² =1- cos teeta /1+ cos teeta​

Answer 1

Answer:

hope it helps

Step-by-step explanation:

We have,

 (cosecθ−cotθ)2

=(sinθ1−sinθcos θ)2

=(sinθ1−cosθ)2

=sin2θ(1−cosθ)2=1−cos2θ(1−cosθ)2     [∵sin2θ=1−cos2θ]

=(1−cosθ)(1+cosθ)(1−cosθ)2=1+cosθ1−cosθ.