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`(1 + Cot^2 Theta ) Sin^2 Theta =1`

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Question

`(1 + cot^2 theta ) sin^2 theta =1`

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Solution

LHS= `(1+cot^2 theta)sin^2 theta`

      =`cosec^2 theta   sin^2 theta    (∵ cosec^2 theta - cot^2 theta =1)`

     =`1/(sin ^2theta)xxsin^2 theta`

    =1

Hence, LHS = RHS

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