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

Harlen Pritchard 2021-09-08 Answered

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

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Expert Answer

Delorenzoz
Answered 2021-09-09 Author has 23437 answers

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

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