Question

Prove that ;1-sinx/cosx = cosx/1+sinx​

Answer 1

Answer:

Explanation:

multiply the LHS , top and bottom by  ( 1 + sin x )

( 1 − sin x ) ( 1 + sin x )  / cos x ( 1 + sin x )

= 1 − sin 2 x/ cos x ( 1 + sin x )

but  sin 2 x + cos x = 1

∴ = cos 2 x /  cos x ( 1 + sin x )

= cos x ( cos x ) /  cos x ( 1 + sin x )

as required.