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Question

Prove that :
1+sinAsin(90A)cot(90A)=sin2A.

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Solution

L.H.S=1+sinAsin(90A)cot(90A)
=1+sinAcosAtanA
=1+sinAcosAsinAcosA
=1+cos2A
=(1cos2A)
=sin2A


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