How do you prove 1-cosx^2/(1+sinx)= sinx?

1 Answer
Apr 15, 2015

Solution

1-(cos^2x)/(1+sinx)=sinx....(i)

As

cos^2x=1-sin^2x

So,

L.H.S of equation no. (i)

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

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

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

=1-(1-sinx)

=1-1+sinx

=cancel1-cancel1+sinx

=sinx

=R.H.S