[tex]O(0,0)\\P(-3\sqrt3, 3)\\c = |PO|\\c = \sqrt{(-3\sqrt3)^2+3^2}=\sqrt{3*3+9}=\sqrt{9+9}=\sqrt{18}=\sqrt{9*2}=3\sqrt2[/tex]
[tex]sin\alpha=\frac{3}{c}\\sin\alpha=\frac{3}{3\sqrt2}=\frac{3\sqrt2}{3*2}=\frac{\sqrt2}2\\cos\alpha=\frac{3\sqrt3}{3\sqrt2}=\frac{3\sqrt6}{3*2}=\frac{\sqrt6}2\\tg\alpha=\frac{3}{3\sqrt3}=\frac{3\sqrt3}{3*3}=\frac{\sqrt3}3\\ctg\alpha=\frac{3\sqrt3}3=\sqrt3[/tex]
