Question

Please help with cartesian coordinates to polar coordinates.

Answer 1

`(\stackrel{x}{15}~~,~~\stackrel{y}{10}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ r=√(x^2+y^2)\implies r=√(15^2+10^2)\implies r=√(325)\implies r\approx 18.03 \\\\[-0.35em] ~\dotfill\\\\ \theta =\tan^(-1)\left( \cfrac{y}{x} \right)\implies \theta =\tan^(-1)\left( \cfrac{10}{15} \right)\implies \theta \approx 0.59rad \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill~(18.03~~,~~0.59rad)~\hfill~`