Tan2θ + cot2θ + 2 = sec2θ . cosec2θ
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LHS = (tan2 A + 1) + (cot2 A + 1)
= sec2 A + cosec2 A
= 1/cos2 A +1/sin2 A
= (sin2 A + cos2 A)/sin2Acos2A
=sec2A cosec2A
= sec2 A + cosec2 A
= 1/cos2 A +1/sin2 A
= (sin2 A + cos2 A)/sin2Acos2A
=sec2A cosec2A
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