Question

Describe the position of the polar coordinates on the polar plane for (4, 135°)

a. on the fourth circle from the center and 135° clockwise from the horizontal axis
b. on the fourth circle from the center and 45° counterclockwise from the horizontal axis
c. on the fourth circle from the center and -45° clockwise from the horizontal axis
d. on the fourth circle from the center and 225° clockwise from the horizontal axis

Answer 1

The above answer is wrong. It's actually A, just took the test.

Answer 2

All options give the coordinate as on the fourth circle from the center, so we only need to worry about the angle. On the unit circle, angles are measured counterclockwise from the horizontal axis. But none of the options give
`135^\circ` degrees counterclockwise, so we must convert to a clockwise measure. There are
`360` degrees in a circle, so
`135^\circ` counterclockwise equals
`360^\circ-135^\circ = 225^\circ` clockwise, option D.