Question

How do you convert `(−2, −9)` to polar form?

Answer 1

Polar coordinates `color(magenta)((9.2195, 257.47^@)`

Explanation:

`(x, y) = (-2, -9)`

`r = sqrt (x^2 + y^2) = (-2^2 + -9^2) = 9.2195`

`tan theta = (-9/-2) = 4.5`

`theta = arctan 4.5 = 1.3521^c 77.47^@`

Since x and y are negative, it’s in III Quadrant and `theta = 180 + 77.47^@ = 257.47^@ = 4.4937^c`