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garri49 [273]
3 years ago
11

Prove the identification

Mathematics
2 answers:
serg [7]3 years ago
7 0
Hi there!

L.H.S. = \dfrac{cos \: x}{cos \: x - sin \: x}

Divide th' whole expression by cos x :-

\dfrac{ \dfrac{cos \: x}{cos \: x} }{ \dfrac{cos \: x}{cos \: x} \: - \: \dfrac{sin \: x}{cos \: x} }

\dfrac{1}{1 - tan \: x} = R.H.S.


HENCE PROVED.

~ Hope it helps!
VikaD [51]3 years ago
7 0
Hola!

LHS = cosx/cosx - sinx

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

= 1 / 1 - tanx = RHS

Hope this helps you!!!!
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