What is the polar form of ( 12,144 )?

Mar 27, 2017

$\left(144.499 , 1.488\right)$

Explanation:

To find ${r}^{2}$, use Pythagorean theorem:

${12}^{2} + {144}^{2} = {r}^{2}$

$r = 144.499$

To find he angle, use tangent:

$\tan \theta = \frac{144}{12}$

$\theta = 1.488$

Rewrite this in the form $\left(r , \theta\right)$

$\left(144.499 , 1.488\right)$