tan^2A + cot^2A= sec^2A*cosec^2A - 2
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LHS=tan2A+cot2A
=sin2A/cos2A +cos2A/sin2A
= sin4A+cos4A/sin2A.cos2A
=(sin2A+cos2A)^2-2sin2Acos2A/
sin2Acos2A
=1-2sin2Acos2A/ cos2Asin2A
=sec2Atan2A-2
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