Find the value of tan^2a sec^2a(cot^2a – cos^2a)
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Answer: tan2A + cot2A + 2 = cosec2A sec2A
Take the LHS:
tan2A + cot2A + 2
tan2A + cot2A + 1 + 1
tan2A + 1 + cot2A + 1
Since, tan2A + 1 = sec2A and cot2A + 1 = cosec2A
sec2A + cosec2A
1/cos2A + 1/Sin2A
(Sin2A + Cos2A) / cos2A Sin2A
1/ cos2A sin2A
Sec2A cosec2A= RHS
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