$x=2\cdot \cos (150\mathrm{°})=2\cdot (-\frac{1}{2}\sqrt{3})=-\sqrt{3}\approx -\mathrm{1,73}x=2\backslash cdot\backslash cos(150°)=2\backslash cdot(-\backslash frac\{1\}\{2\}\backslash sqrt\{3\})=-\backslash sqrt\{3\}\backslash approx-1\{,\}73$

$y=2\cdot \sin (150\mathrm{°})=2\cdot \frac{1}{2}=1y=2\backslash cdot\backslash sin(150°)=2\backslash cdot\backslash frac\{1\}\{2\}=1$

$\Rightarrow \backslash Rightarrow$ kartesische Koordinaten: $A(-\mathrm{1,73}\mathrm{\mid }1)A(-1\{,\}73|1)$

$r=\sqrt{3^2+(-3{)}^2}=\sqrt{9+9}=\sqrt{18}=3\sqrt{2}\approx \mathrm{4,24}r=\backslash sqrt\{3^2+(-3)^2\}=\backslash sqrt\{9+9\}=\backslash sqrt\{18\}=3\backslash sqrt\{2\}\backslash approx4\{,\}24$

$\phi ={\tan }^{-1}\left(\frac{-3}{3}\right)+360\mathrm{°}={\tan }^{-1}(-1)+360\mathrm{°}=-45\mathrm{°}+360\mathrm{°}=315\mathrm{°}\backslash varphi=\backslash tan^\{-1\}\backslash left(\backslash frac\{-3\}\{3\}\backslash right)+360°=\backslash tan^\{-1\}(-1)+360°=-45°+360°=315°$