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Question
Prove the following identity :
`sqrt(cosec^2q - 1) = "cosq cosecq"`
Solution
`sqrt(cosec^2q - 1) = "cosq cosecq"`
`sqrt(cosec^2q - 1) = sqrt(cot^2q) (Q cosec^2q - 1 = cot^2q)`
= `cotq = cosq/sinq = cosq . 1/sinq`
= `"cosq cosecq"`
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