Question

What is the value of (1 − cos² θ) cosec² θ? 

Answer 1

We have, 

`(1-cos^2 θ) cosec ^2 θ=sin^2θ xx cosec^2 θ`

=` sin^2θ xx(1/sin θ)^2` 

= `sin^2 θ xx1/( sin^2θ)` 

`= 1`