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Question
Prove the following identity :
`tanA - cotA = (1 - 2cos^2A)/(sinAcosA)`
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Solution
`tanA - cotA = sinA/cosA - cosA/sinA`
= `(sin^2A - cos^2A)/(sinAcosA)`
= `(1 - cos^2A - cos^2A)/(sinAcosA)` (`Q sin^2A = 1 - cos^2A`)
= `(1 - 2cos^2A)/(sinAcosA)`
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