Question

prove that (cosec theat = cot theat^2) =1-cos theat /1+costheat​

Answer 1

Step-by-step explanation:

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.