Question

Write the value of \[\cot^2 \theta - \frac{1}{\sin^2 \theta}\] 

Answer 1

We have, 

`cot ^2 -1/ sin^2 θ= cot ^2 θ-(1/ sinθ)^2` 

                = `cot ^2 θ-(cosec θ)^2` 

               = `cot^2 θ-cosec^2 θ` 

We know that, `cot^2 θ-cosec^2 θ` 

Therefore,

\[\cot^2 \theta - \frac{1}{\sin^2 \theta} = - 1\]