Question #16fc9

2 Answers
Aug 23, 2017

See Below

Explanation:

LHS:
=(1+sin x)/cos x * ( 1-sin x)/(1-sin x)

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

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

=cos^cancel (2) x /(cancel(cos x)(1-sin x))

=cos x/ (1-sin x)

:.=RHS

Aug 23, 2017

See the proof below

Explanation:

We need

cos^2x+sin^2x=1

Therefore,

LHS=(1+sinx)/cosx

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

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

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

=cosx/(1-sinx)

=RHS

QED