# Справочник. Свойства тригонометрических функций

Свойства тригонометрических функций

 $\alpha$ 0 $30^0$ $45^0$ $60^0$ $90^0$ $180^0$ $270^0$ $360^0$ 0 $\displaystyle\frac{\pi}{6}$ $\displaystyle\frac{\pi}{4}$ $\displaystyle\frac{\pi}{3}$ $\displaystyle\frac{\pi}{2}$ $\pi$ $\displaystyle\frac{3\pi}{2}$ $2\pi$ $\sin\alpha$ 0 $\displaystyle\frac{1}{2}$ $\displaystyle\frac{\sqrt{2}}{2}$ $\displaystyle\frac{\sqrt{3}}{2}$ 1 0 -1 0 $\cos\alpha$ 1 $\displaystyle\frac{\sqrt{3}}{2}$ $\displaystyle\frac{\sqrt{2}}{2}$ $\displaystyle\frac{1}{2}$ 0 -1 0 1 tg $\alpha$ 0 $\displaystyle\frac{\sqrt{3}}{3}$ 1 $\sqrt{3}$ $\infty$ 0 $\infty$ 0 ctg $\alpha$ $\infty$ $\sqrt{3}$ 1 $\displaystyle\frac{\sqrt{3}}{3}$ 0 $\infty$ 0 $\infty$

$\sin(-\alpha)=-\sin\alpha$

$\cos(-\alpha)=\cos\alpha$

$\mathrm{tg}(-\alpha)=-\mathrm{tg}\alpha$

$\mathrm{ctg}(-\alpha)=-\mathrm{ctg}\alpha$