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

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Answer 1 · 2017-07-21T03:06:15

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

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

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

(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.

$7 = r cos 82$ $7=rcos82$
$53 = r sin 82$ $53 = rsin82$

$r = 53$ $r=53$

Answer:
$(53, 82)$ $(53, 82)$

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