Question #6aefa

1 Answer
P dilip_k
Apr 7, 2017

LHS=(tan x - sin x) / sin ^3 x

=(sinx/cosx - sin x) / sin ^3 x

=(sinx(1/cosx - 1) )/ sin ^3 x

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

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

=(1-cosx)/(cosx(1-cos x)(1+cosx))

= 1 / ((1 + cos x) cos x)=RHS

Proved

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