My teacher likes to challenge us, well sometimes simple problems as this get me stumped. I think i got the refrence angles messed up, i get confused with them when i have to draw them reflect on the x axis. Anyway thanks. Or the convertion to radians.
r = sqrt [ (-6)^2 + (1)^2 ] = sqrt (37)
To find theta, we have
atan ( 1/ -6) = -0.165148677415
However.....this point lies in the second quadrant so we must add pi radians to it.....and we have
-0.165148677415 + pi ≈ 2.9764 rads
So (-6, 1) rectangular =
(r, theta) = ( sqrt (37), 2.9764)