Question

Determine the identity. Show all steps.

Answer 1

Explanation:

`(1-\sin ^2\left(x\right))/(1+\sin \left(x\right))=1-(1)/(\csc \left(x\right))`

`(1-\sin ^2\left(x\right))/(1+\sin \left(x\right))`

`=1-\sin \left(x\right)`

⇒
`\sin \left(x\right)=(1)/(\csc \left(x\right))`

`=1-(1)/(\csc \left(x\right))`