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hsbhatt (4990)

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Olaaa!! Perrrfect answer. 940  [1085 rates]

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(cosec2x-2005)/cos2005xdx = - A(x)/B(x)2005

Differentiating with respect to x on both sides


(cosec2x-2005)/cos2005x = 2005 A(x) B'(x)/B2006(x) - A'(x)/B2005(x)

Hence
cosec2x/cos2005x - 2005/cos2005x = 2005 A(x) B'(x)/B2006(x) - A'(x)/B2005(x)

Setting A = cotx and B = cosx, LHS = RHS.


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