Respuesta :

VictorZ
Hi there!

L.H.S. = [tex] \dfrac{cos \: x}{cos \: x - sin \: x} [/tex]

Divide th' whole expression by cos x :-

[tex] \dfrac{ \dfrac{cos \: x}{cos \: x} }{ \dfrac{cos \: x}{cos \: x} \: - \: \dfrac{sin \: x}{cos \: x} } [/tex]

[tex] \dfrac{1}{1 - tan \: x} [/tex] = R.H.S.


HENCE PROVED.

~ Hope it helps!
AlfredZ
hola!

LHS = cosx/cosx - sinx

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

= 1 / 1 - tanx = RHS

Hope this helps you!!!!

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