Answer:
-π/3
Step-by-step explanation:
[tex]tan(x)=\frac{sin(x)}{cos(x)}[/tex]
[tex]tan(x)=-\sqrt{3}[/tex]
[tex]\frac{sin(x)}{cos(x)}=-\sqrt{3}[/tex] , which sin() and cos() will give you sqrt(3)? look at the unit circle
[tex]\frac{sin(-\pi/3 )}{cos(-\pi/3)}=\frac{\frac{\sqrt{3}}{2}}{-\frac{1}{2}}=-\sqrt{3}[/tex]
there's no systematic way of solving this. you just have to be able to look at the unit circle and guess which sin() value divided by which cos() value will give you the result you want. It's pretty much guess and check.
