What is the polar form of ( 7,53 )?

Jul 21, 2017

Use the equations
$x = r \cos a$
$y = r \sin a$
$\tan a = \frac{y}{x}$
to solve the problem.

Explanation:

To convert this rectangular coordinate to polar form, just plug in the values for the equation.

$\frac{53}{7} = \tan a$
${\tan}^{-} 1 = 82 = a$

(Sorry for the whole number rounding. I was not able to find the rounding character.)

And now, plug the value in for the other equation to get r.

$7 = r \cos 82$
$53 = r \sin 82$

$r = 53$

$\left(53 , 82\right)$