Question

How do you verify `((1+sinx)/(cosx))=((cosx)/(1-sinx))`?

Answer 1

Verify: `(1 + cos x)/(cos x) = (cos x/(1 - sin x))`

Explanation:

Verify by cross multiplication
`(1 + sin x)( 1- sin x) = cos^2 x`
`(1 - sin^2 x) = cos^2 x`
`cos^2 x = cos ^2 x`