(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hi, I need to solve for x:

[tex]\sqrt{3}cos(x)+sin(x)=1[/tex]

2. Relevant equations

3. The attempt at a solution

[tex]3(Cosx)^{2}+2\sqrt{3}CosxSinx+(Sinx)^{2}-1=0[/tex]

[tex]3(Cosx)^{2}+2\sqrt{3}CosxSinx+(Cosx)^{2}=[/tex]

[tex]4(Cosx)^{2}+2\sqrt{3}SinxCosx=0[/tex]

[tex]Cosx(4Cosx+2\sqrt{3}Sinx)=0[/tex]

[tex]\therefore Cosx=0[/tex] x=90 or 270.

OR

[tex]4Cosx=-2\sqrt{3}Sinx[/tex]

I wasn't sure how to work out that last bit.

Hope you guys can help.

Frenzal

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# Homework Help: Trig Question

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