Question #49284

1 Answer
P dilip_k
Nov 17, 2016

1- (sin^2x/(1+cosx) + (1+cosx)/sinx - sinx/(1-cosX))

=1-(((1-cosx)(1+cosx))/(1+cosx)+(1+cosx)/sinx-(sinx(1+cosx))/((1-cosx)(1+cosx)))

=1-1+cosx-(1+cosx)/sinx +(sinx(1+cosx))/(1-cos^2x)

=cosx-(1+cosx)/sinx +(sinx(1+cosx))/sin^2x

=cosx-(1+cosx)/sinx +(1+cosx)/sinx

=cosx

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