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