# Trigonometry Special Angles

Keywords: Trigonometry of right triangles

$\alpha =0°=2\mathrm{\pi }$
$0$
$1$
$0$
$+\infty$
$\alpha =30°=\frac{\mathrm{\pi }}{6}$
$\frac{1}{2}$
$\frac{\sqrt{3}}{2}$
$\frac{\sqrt{3}}{3}$
$\sqrt{3}$
$\alpha =45°=\frac{\mathrm{\pi }}{4}$
$\frac{\sqrt{2}}{2}$
$\frac{\sqrt{2}}{2}$
$1$
$1$
$\alpha =60°=\frac{\mathrm{\pi }}{3}$
$\frac{\sqrt{3}}{2}$
$\frac{1}{2}$
$\sqrt{3}$
$\frac{\sqrt{3}}{3}$
$\alpha =90°=\frac{\mathrm{\pi }}{2}$
$1$
$0$
$+\infty$
$0$
$\alpha =120°=\frac{\mathrm{2\pi }}{3}$
$\frac{\sqrt{3}}{2}$
$-\frac{1}{2}$
$-\sqrt{3}$
$-\frac{\sqrt{3}}{3}$
$\alpha =135°=\frac{\mathrm{3\pi }}{4}$
$\frac{\sqrt{2}}{2}$
$-\frac{\sqrt{2}}{2}$
$-1$
$-1$
$\alpha =150°=\frac{\mathrm{5\pi }}{6}$
$\frac{1}{2}$
$-\frac{\sqrt{3}}{2}$
$-\frac{\sqrt{3}}{3}$
$-\sqrt{3}$
$\alpha =180°=2\mathrm{\pi }$
$0$
$-1$
$0$
$-\infty$
$\alpha =210°=\frac{\mathrm{7\pi }}{3}$
$-\frac{1}{2}$
$-\frac{\sqrt{3}}{2}$
$\frac{\sqrt{3}}{3}$
$\sqrt{3}$
$\alpha =225°=\frac{\mathrm{5\pi }}{4}$
$-\frac{\sqrt{2}}{2}$
$-\frac{\sqrt{2}}{2}$
$1$
$1$
$\alpha =240°=\frac{\mathrm{7\pi }}{3}$
$-\frac{\sqrt{3}}{2}$
$-\frac{1}{2}$
$\sqrt{3}$
$\frac{\sqrt{3}}{3}$
$\alpha =270°=\frac{\mathrm{7\pi }}{3}$
$-1$
$0$
$-\infty$
$0$
$\alpha =300°=\frac{\mathrm{7\pi }}{3}$
$-\frac{\sqrt{3}}{2}$
$\frac{1}{2}$
$-\sqrt{3}$
$-\frac{\sqrt{3}}{3}$
$\alpha =315°=\frac{\mathrm{5\pi }}{4}$
$-\frac{\sqrt{2}}{2}$
$\frac{\sqrt{2}}{2}$
$-1$
$-1$
$\alpha =330°=\frac{\mathrm{7\pi }}{3}$
$-\frac{1}{2}$
$\frac{\sqrt{3}}{2}$
$-\frac{\sqrt{3}}{3}$
$-\sqrt{3}$