Question

prove that (cos^2 θ/1-sin θ)-(sin^2 θ/1-cos θ)=sin θ- cos θ​

Answer 1

Answer:

Here, we will use,

cos2θ+sin2θ=1

1.) L.H.S.=1−cos2θsin2θ

=cos2θ+sin2θ−cos2θsin2θ

=sin2θsin2θ

=1=R.H.S.

2.) L.H.S.=1−(cos2θ1+sinθ)

=1−(1−sin2θ1+sinθ)

=1−((1−sinθ)(1+sinθ)1+sinθ)

=1−1+sinθ

=sinθ=R.H.S.

Answer 2

This is your answer.

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