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

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Answer 1 · 2017-07-21T03:06:15

Use the equations
$x=rcosa$
$y=rsina$
$tana=y/x$
to solve the problem.

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

$53/7=tana$
$tan^-1=82 =a$

(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.

$7=rcos82$
$53 = rsin82$

$r=53$

Answer:
$(53, 82)$

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