Question #63b1d

1 Answer
P dilip_k
Feb 25, 2017

LHS=(csc θ + sec θ) / (1+ tanθ)

=(1/sintheta + 1/costheta) / (1+sintheta/costheta)

=((sintheta +costheta)/(sinthetacostheta)) / ((costheta+sintheta)/costheta)

=(cancel(sintheta +costheta)/(sinthetacostheta)) xx(costheta/cancel(costheta+sintheta))

=1/sintheta=csctheta=RHS

Proved

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