determine the possible coordinates (x,y) of a terminal point for the angle 300 degrees in standard position.?

Refer to the figure below.

cos(300°) = x/r
cos(360° - 60°) = x/9
x = 9 cos(60°)
x = 9 * (1/2)
x = 9/2

sin(300°) = y/r
sin(360° - 60°) = y/9
x = 9 [-sin(60°)]
x = 9 * (-√3/2)
x = -9√3/2

The answer: c. (9/2, -9√3/2)

The standard position for an angle is to measure it counter-clockwise from the positive x-axis. 300° falls within the fourth quadrant, so you expect that the x-coordinate will be positive while the y-coordinate is negative. There is only one possible answer...Option C.