[tex]Zadanie\ 1\\\\P(-5;2)\\\\r=\sqrt{x^{2} +y^{2} }\\\\r=\sqrt{(-5)^2+2^2}\\\\r=\sqrt{25+4} \\\\ r=\sqrt{29} \\\\\\sin\alpha=\frac{y}{r}=\frac{2}{\sqrt{29}}\cdot\frac{\sqrt{29}}{\sqrt{29}}= \frac{2\sqrt{29}}{29}\\\\cos\alpha=\frac{x}{r}=\frac{-5}{\sqrt{29}}\cdot \frac{\sqrt{29}}{\sqrt{29}}=-\frac{5\sqrt{29}}{29}\\\\tg\alpha=\frac{y}{x}=\frac{2}{-5}=-\frac{2}{5}\\\\ctg\alpha=\frac{x}{y}=\frac{-5}{2}=-\frac{5}{2}[/tex]
