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Question
Prove the following identities:
`cosecA - cotA = sinA/(1 + cosA)`
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Solution
cosec A – cot A
= `1/sinA - cosA/sinA`
= `(1 - cosA)/sinA`
= `(1 - cosA)/sinA xx (1 + cosA)/(1 + cosA)`
= `(1 - cos^2A)/(sinA(1 + cosA)`
= `sin^2A/(sinA(1 + cosA))`
= `sinA/(1 + cosA)`
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