\color{rgb(0,0,255)}\begin{array}{l}
{\displaystyle cos\left( {\frac{\pi }{3 } } \right) = \frac{1 }{2 } }
\\ \displaystyle {sin\left( {\frac{\pi }{3 } } \right) = \frac{\sqrt{3} }{2 } }
\end{array}
$$\color{rgb(0,0,255)}\Rightarrow \theta = \frac{\pi}{3}$$
$$\color{rgb(0,0,255)}\Rightarrow \theta=\frac{\pi}{2}$$
$$\color{rgb(0,0,255)}\Rightarrow \theta=\frac{2\pi}{3}$$
$$\color{rgb(0,0,255)}\Rightarrow \theta=\frac{5\pi}{6}$$
$$\color{rgb(0,0,255)}\Rightarrow \theta=-\frac{\pi}{6}$$
$$\color{rgb(0,0,255)}\Rightarrow \theta=-\frac{\pi}{4}$$
$$\color{rgb(0,0,255)}\Rightarrow \theta=-\frac{\pi}{2}$$
$$\color{rgb(0,0,255)}\Rightarrow \theta=-\frac{\pi}{3}$$
$$\color{rgb(0,0,255)}\Rightarrow \theta=\pi$$
$$\color{rgb(0,0,255)}\Rightarrow \theta=-\frac{2\pi}{3}$$
$$\color{rgb(0,0,255)}\Rightarrow \theta=-\frac{5\pi}{6}$$
$$\color{rgb(0,0,255)}\Rightarrow \theta = \frac{3\pi}{4}$$
$$\color{rgb(0,0,255)}\Rightarrow \theta=-\frac{3\pi}{4}$$