[tex]P(-3,5) \ \ \rightarrow \ \ x = -3, \ y = 5\\\\r^{2} = x^{2}+y^{2}\\\\r^{2} + (-3)^{2}+5^{2}\\\\r^{2} = 9+25}\\\\r^{2} = 34\\\\\underline{r = \sqrt{34}}[/tex]
[tex]sin\alpha = \frac{y}{r} = \frac{5}{\sqrt{34}} = \frac{5}{\sqrt{34}}\cdot\frac{\sqrt{34}}{\sqrt{34}} =\frac{5\sqrt{34}}{34}\\\\cos\alpha=\frac{x}{r} = \frac{-3}{\sqrt{34}} = \frac{-3}{\sqrt{34}}\cdot\frac{\sqrt{34}}{\sqrt{34}} = -\frac{3\sqrt{34}}{34}\\\\tg\alpha = \frac{y}{x} = -\frac{5}{3}\\\\ctg\alpha = \frac{x}{y} = -\frac{3}{5}[/tex]
