Point N lies on a unit circle in the xy-plane and has coordinates (1,…

Question

Prompt

Point N lies on a unit circle in the xy-plane and has coordinates (1,0). Point O is the center of the circle and has coordinates (0,0). Point M also lies on the unit circle, and the measure of angle NOM is

\frac{272 π}{3}

radians. If the coordinates of point M are (a, b), where a and b are constants, what is the value of a?

\frac{1}{2}

\frac{3}{2}

- \frac{1}{2}

- \frac{3}{2}