$ \large\bgcolor{99ffff}\begin{array}{||c||c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c||}\\

\hline\hline \alpha&-\pi&-\frac{5\pi}{6}&-\frac{3\pi}{4}&-\frac{2\pi}{3}&-\frac{\pi}{2}&-\frac{\pi}{3}&-\frac{\pi}{4}&-\frac{\pi}{6}&0&\frac{\pi}{6}&\frac{\pi}{4}&\dfrac{\pi}{3}&\dfrac{\pi}{2}&\frac{2\pi}{3}&\frac{3\pi}{4}&\frac{5\pi}{6}&\pi \cr

\hline \hline \sin \alpha&0&-\dfrac{1}{2}&-\dfrac{\sqrt{2}}{2}&-\dfrac{\sqrt{3}}{2}&-1&-\dfrac{\sqrt{3}}{2}&-\dfrac{\sqrt{2}}{2}&-\dfrac{1}{2}&0&\dfrac{1}{2}&\dfrac{\sqrt{2}}{2}&\dfrac{\sqrt{3}}{2}&1&\dfrac{\sqrt{3}}{2}&\dfrac{\sqrt{2}}{2}&\dfrac{1}{2}&0\cr

\hline \cos \alpha&-1&-\dfrac{\sqrt{3}}{2}&-\dfrac{\sqrt{2}}{2}&-\dfrac{1}{2}&0&\dfrac{1}{2}&\dfrac{\sqrt{2}}{2}&\dfrac{\sqrt{3}}{2}&1&\dfrac{\sqrt{3}}{2}&\dfrac{\sqrt{2}}{2}&\dfrac{1}{2}&0&-\dfrac{1}{2}&-\dfrac{\sqrt{2}}{2}&-\dfrac{\sqrt{3}}{2}&-1\cr

\hline \tan \alpha &0&\dfrac{1}{\sqrt{3}}& 1 &\sqrt{3}& ±∞ &-\sqrt{3}&-1&-\dfrac{1}{\sqrt{3}}&0&\dfrac{1}{\sqrt{3}}&1&\sqrt{3}&±∞&-\sqrt{3}&-1&-\dfrac{1}{\sqrt{3}}&0\cr

\hline\hline\end{array} $