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Question
If cosec θ − cot θ = α, write the value of cosec θ + cot α.
Solution
Given: `cosec θ-cot θ=α`
We know that, `cosec^2θ-cot^2θ=1`
Therefore,
`cosec^2 θ-cot^2θ=1`
⇒ `(cosec θ+cot θ) (cosec θ-cot θ)=1`
⇒ `(cosecθ+cot θ )α=1`
⇒ `(cosec θ+cot θ)=1/α`
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