- #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