Question

Cos x/1+sin x= 1-sin x/ cos x ?

Answer 1

Please see below.

Explanation:

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I am assuming you are asking to prove this equation is true.

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

Let's multiply the numerator and denominator of the left hand side by the conjugate of the denominator, i.e. `1-sinx`:

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