Question

What is the polar form of `( 7,21 )`?

Answer 1

`(7sqrt10 , 71.6^@)`

Explanation:

To convert Cartesian to Polar coordinates , use the formula that links them.

`• r = sqrt(x^2 + y^2 )`

`• theta = tan^-1(y/x)`

here x = 7 and y = 21

`rArr r = sqrt(7^2 + 21^2) = sqrt490 = sqrt(49xx10) = 7sqrt10`

and `theta = tan^-1(21/7) = tan^-1 3 ≈ 71.6^@`