Question

solve q.50 plz
answer is 2

Plz provide details

Answer 1

ur answer is in attachment

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be brainly :)

Answer 2

Given,

$cosec^{2}A.sec^{2}B - cosec^{2}A.tan^{2}B - cot^{2}A.sec^{2}A + cot^{2}A.tan^{2}B+ cosec^{6} - cot^{6} + -3cosec^{2}A. cot^{2}A \\ \\ = cosec^{2}A(sec^{2}B -tan^{2}B) - cot^{2}A(-tan^{2}B + sec^{2}B) + (cosec^{2}A)^{3} - (cot^{2}A)^{3} - 3cosec^{2}A.cot^{2}A \\ \\ = cosec^{2}A*1 - cot^{2}A*1 + (cosec^{2}A - cot^{2}A)(cosec^{4} + cot^{4} +2cosec^{2}A.cot^{2}A) -3cosec^{2}A.cot^{2}A \\ \\ = cosec^{2}A - cot^{2}A + 1*[ (cosec^{2}A-cot^{2}A)^{2} + 3cosec^{2}A.cot^{2}A) - 3cosec^{2}A.cot^{2}A] \\ \\ = 1 + [1 + 3cosec^{2}A.cot^{2}A} ] -3cosec^{2}A.cot^{2}B \\ \\ = 2 \ \textbf{Ans.}$