How do you convert $(3, 1)$ $(3, 1)$ from cartesian to polar coordinates?

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Answer 1 · 2017-06-09T20:14:04

$\sqrt{10} (cos θ + i sin θ)$ $sqrt 10 (cos theta + i sin theta)$

$r = \sqrt{x^{2} + y^{2}}; tan θ = \frac{y}{x}$ $r = sqrt{x^2 + y^2} ; tan theta = y/x$

$r = \sqrt{9 + 1}; tan θ = \frac{1}{3}$ $r = sqrt{9 + 1} ; tan theta = 1/3$

$r = \sqrt{10}; θ = arctan \frac{1}{3}$ $r = sqrt{10} ; theta = arctan frac{1}{3}$

How do you convert (3,1)(3, 1) from cartesian to polar coordinates?