- #1

frenzal_dude

- 77

- 0

## Homework Statement

Hi, I need to solve for x:

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

## Homework Equations

## 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