Question

Prove the identification

Answer 1

hola!

LHS = cosx/cosx - sinx

= cosx/cosx / cosx/cosx - sinx/cosx

= 1 / 1 - tanx = RHS

Hope this helps you!!!!

Answer 2

Hi there!

L.H.S. =
`(cos \: x)/(cos \: x - sin \: x)`

Divide th' whole expression by cos x :-


`( (cos \: x)/(cos \: x) )/( (cos \: x)/(cos \: x) \: - \: (sin \: x)/(cos \: x) )`


`(1)/(1 - tan \: x)` = R.H.S.


HENCE PROVED.

~ Hope it helps!