tan^2A-Sec^2A / 2Cot^2A-2Cosec^2
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To prove: tan2A +cot2A +2 = cosec2A sec2A
By taking LHS, we have;
tan2A +cot2A +2
= (1 + tan2A) + (1 + cot2A )
= sec2A + cosec2A [By trigonometric identities]
= (1/cos2A) + (1/sin2A)
= (sin2A + cos2A)/(sin2A . cos2A)
= 1/(sin2A.cos2A)
= sec2A.cosec2A
= RHS.
Hence, proved.
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