Question

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

Answer 1

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

Explanation:

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)`