Question

prove that
sin theta- cos theta+1/ sin theta + cos theta -1 = 1/ sec theta - tan theta ​

Answer 1

Step-by-step explanation:

Given, sinθ+sin

2

θ=1

⇒sinθ=1−sin

2

θ=cos

2

θ

Therefore, cos

2

θ+cos

4

θ=cos

2

θ(1+cos

2

θ)

=sinθ(1+sinθ)

=sinθ+sin

2

θ

=1