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Question
Prove the following identity :
`((1 + tan^2A)cotA)/(cosec^2A) = tanA`
Solution
`((1 + tan^2A)cotA)/(cosec^2A)`
= `(sec^2AcotA)/(cosec^2A) ......(∴ sec^2A = 1 + tan^2A)`
= `(1/cos^2A . cosA/sinA)/(1/sin^2A) = 1/((cosAsinA)/(1/sin^2A)`
= `sinA/cosA = tanA`
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