Funkcje trygonometryczne dowolnego kąta

$\sin\alpha=\frac{\sqrt{41}}{4}$

$\cos\alpha=\frac{5}{\sqrt{41}}$

$tg\alpha=\frac{5}{4}$

$\operatorname{ctg}\alpha=\frac{4}{5}$

$\sin\alpha=\frac{1}{\sqrt{3}}$

$\cos\alpha=\frac{\sqrt{3}}{2}$

$\alpha=30\degree$

$tg\alpha=\sqrt{3}$

$\sin\alpha=\frac{\sqrt{2}}{\sqrt{5}}$

$\cos\alpha=\frac{\sqrt{10}}{5}$

$tg\alpha=\frac{\sqrt{6}}{2}$

$\operatorname{ctg}\alpha=\frac{\sqrt{2}}{\sqrt{3}}$

$\sin\alpha=\frac{5\sqrt{3}}{9}$

$\cos\alpha=\frac{-\sqrt{2}}{3\sqrt{3}}$

$tg\alpha=\frac{5}{\sqrt{2}}$

$\operatorname{ctg}\alpha=\frac{\sqrt{2}}{5}$

$\sin\alpha=\frac{3}{\sqrt{13}}$

$\cos\alpha=\frac{-2}{\sqrt{13}}$

$tg\alpha=-\frac{3}{2}$

$\operatorname{ctg}\alpha=-\frac{2}{3}$

$\sin\alpha=\frac{1}{2}$

$\cos\alpha=\frac{2}{\sqrt{3}}$

$tg\alpha=\frac{-\sqrt{3}}{3}$

$\alpha=150\degree$

$\sin\alpha=\frac{\sqrt{6}}{9}$

$\cos\alpha=\frac{-5\sqrt{3}}{9}$

$tg\alpha=-\frac{\sqrt{2}}{10}$

$\operatorname{ctg}\alpha=-5\sqrt{2}$

$\sin\alpha=-\frac{\sqrt{5}}{5}$

$\cos\alpha=-\frac{2\sqrt{5}}{5}$

$tg\alpha=-2$

$\operatorname{ctg}\alpha=-\frac{4}{\sqrt{20}}$

$\alpha=225\degree$

$\sin\alpha=\frac{-\sqrt{2}}{2}$

$\cos\alpha=\sqrt{2}$

$tg\alpha=1$

$\sin\alpha=-\frac{\sqrt{10}}{10}$

$\cos\alpha=-\frac{3\sqrt{10}}{10}$

$tg\alpha=\frac{1}{3}$

$\operatorname{ctg}\alpha=3$