\[
\begin{array}{|c|c|c|c|c|c||c|c|c|c|rr}
\hline 
x & 0 & \frac{\pi}{6} & \frac{\pi}{4} & \frac{\pi}{3} &
\frac{\pi}{2} & (0;\frac{\pi}{2}) & (\frac{\pi}{2};\pi) & 
(\pi;\frac{3\pi}{2}) & (\frac{3\pi}{2};2\pi)\\
\hline
\sin x & 0 & \frac{1}{2} & \frac{\sqrt{2}}{2} &
\frac{\sqrt{3}}{2} & 1 & + & + & - & - \\
\hline
\end{array}
\]