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mathaddict · #11 July 4th, 2009, 10:38 AM

Quote:

Originally Posted by JannetheSwede

Ummh, or no... I still don't get it

I tried to apply this on another problem of the same type

$cosx+\frac{\frac{1}{2}}{cosx}=\frac{3}{2}$

but I was unable to solve it...

I did like this

$2cos^{2}x+cos x=3cos x$
$2cos^{2}x-2cos x=0$

and thats how far I got... what do I do from there?

you are wrong .

It simplifies to

$2cos^2x-3cosx+1=0$

$(2cosx-1)(cosx-1)=0$

$cosx=\frac{1}{2}$ , $cosx=1$

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