Convert the point (-1,1) from Cartesian coordinates to polar coordinates

Convert the point $$(-1,1)$$ from Cartesian coordinates to polar coordinates

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Delorenzoz

$$\displaystyle{r}^{{2}}={\left({x}^{{2}}+{y}^{{2}}\right)}{\left({\left(-{1}\right)}^{{2}}+{1}^{{2}}\right)}={2}$$
$$\displaystyle{r}=\sqrt{{2}}\ {u}{n}{i}{t}{s}$$
$$\displaystyle\theta={{\tan}^{{-{1}}}\cdot}\frac{{y}}{{x}}={{\tan}^{{-{1}}}{\left(-{1}\right)}}=-\frac{\pi}{{4}}$$
Hence, the polar coordinates are $$\displaystyle{\left(\sqrt{{2}},-\frac{\pi}{{4}}\right)}$$