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sin (90- A)= cos A
cot (90-A)= tan A
LHS = -1 + sin A sin(90-A)/cot(90-A)
= -1+ sinAcos A/tanA
= -1 + sinA cosA * cosA/sinA
= -1 + cos^2A
= -(1- cos^2 A)
= - sin^2 A
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I. hope it will help you
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