[tex]1. \\sin\alpha=\frac13\\sin^2\alpha+cos^2\alpha=1\\\frac19+cos^2\alpha=1\\cos^2\alpha=\frac89\\cos\alpha=\frac{2\sqrt2}3\\\\3cos\alpha+1=3*\frac{2\sqrt2}3+1=2\sqrt2+1[/tex]
[tex]2. \\r=|OP|=\sqrt{(-1-0)^2+(-2-0))^2}=\sqrt{1+4}=\sqrt5\\\\sin\alpha=\frac{-2}{\sqrt5}=\frac{-2\sqrt5}5=-\frac{2\sqrt5}5\\cos\alpha=\frac{-1}{\sqrt5}=\frac{-\sqrt5}5=-\frac{\sqrt5}5\\tg\alpha=\frac{-2}{-1}=2\\ctg\alpha=\frac{-1}{-2}=\frac12[/tex]
