Question

Describe the position of the polar coordinates on the polar plane for (4,120).

a) on the fourth circle from the center and 120 degrees clockwise from the horizontal axis
b) on the fourth circle from the center and 60 degrees counterclockwise from the horizontal axis
c) on the fourth circle from the center and 240 degrees clockwise from the horizontal axis
d) on the fourth circle from the center and -60 degrees clockwise from the horizontal axis

Answer 1

c. On the fourth circle from the center and 240 degrees clockwise from the horizontal axis

Explanation:

i did the test

Answer 2

Clearly
`r=4` corresponds to a point on the fourth "circle" in the plane.
`\theta=120^\circ` is a rotation of 120 degrees counter-clockwise relative to the positive side of the horizontal axis, which corresponds to a clockwise turn of 360 - 120 = 240 degrees.

This means (C) is the answer.