Question #1b8ac

1 Answer
P dilip_k
Dec 5, 2016

(csc x- cot x)(sec x+1)

=(sinx(csc x- cot x)cosx(sec x+1))/(sinxcosx)

=((sinxcsc x- sinxcot x)(cosxsec x+cosx))/(sinxcosx)

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

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

=sin^cancel2 x/(cancelsinxcosx)=sinx/cosx=tanx

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