prove that tan2A + cosecA•cosA = cotA•sec^2A
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Step-by-step explanation:
LHS=tan2A+cot2A
=cos2Asin2A+sin2Acos2A
=sin2Acos2Asin4A+cos4A
=sin2Acos2A(sin2A+cos2A)2−2sin2Acos2A
=sin2Acos2A1−2sin2Acos2A
=cos2A1.sin2A1−2
=sec2A.cosec2A−2
=RHS
Hence proved
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