Question #18ea9

1 Answer
P dilip_k
Dec 12, 2016

RHS=1+(2cosx(1+cosx))/sin^2x

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

=1+(2cosx(1+cosx))/((1-cosx)(1+cosx))

=1+(2cosxcancel((1+cosx)))/((1-cosx)cancel((1+cosx)))

=1+(2cosx)/(1-cosx)

=(1-cosx+2cosx)/(1-cosx)

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

Proved

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