Wzory
sin\alpha=\frac{y}{r}
cos\alpha=\frac{x}{r}
tg\alpha=\frac{y}{x}
ctg\alpha=\frac{x}{y}
r^2=x^2+y^2
dla a)
x=-3 , y=4
r=\sqrt{(-3)^2+4^2}=\sqrt{9+16}=\sqrt{25}=5
sin\alpha=\frac{4}{5}
cos\alpha=\frac{-3}{5}=-\frac{3}{5}
tg\alpha=\frac{4}{-3}=-\frac{4}{3}
ctg\alpha=-\frac{3}{4}
b)
x=3, y=\sqrt3
r=\sqrt{3^2+\sqrt3^2}=\sqrt{9+3}=\sqrt{12}=\sqrt{4*3}=2\sqrt3
sin\alpha=\frac{\sqrt3}{2\sqrt3}=\frac{1}{2}
cos\alpha=\frac{3}{2\sqrt3}=\frac{3\sqrt3}6=\frac{\sqrt3}{2}
tg\alpha=\frac{\sqrt3}{3}
ctg\alpha=\frac{3}{\sqrt3}=\frac{3*\sqrt3}{\sqrt3*\sqrt3}=\sqrt3