(Solved): (a) If \( t=-\frac{\pi}{3} \), determine the quadrant in which the unit circle point \( P(t) \) lie ...

(a) If \( t=-\frac{\pi}{3} \), determine the quadrant in which the unit circle point \( P(t) \) lies. Quadrant I Quadrant II Quadrant III Quadrant IV \( t \) lies on the \( x \)-axis or \( y \)-axis (between quadrants) (b) If \( s=\frac{-23 \pi}{4} \), find a real number \( t \) in the interval \( [0,2 \pi) \) such that \( P(t)=P(s) \). (Recall that \( P(t) \) and \( P(s) \) represent points on the unit circle.)