From the information given, find the quadrant in which the terminal point determined by $\displaystyle {t}$ lies. Input I, II, III, or IV.
(a) $\displaystyle {\sin{{\left({t}\right)}}}<{0}$ and $\displaystyle {\cos{{\left({t}\right)}}}<{0}$, quadrant ;
(b) $\displaystyle {\sin{{\left({t}\right)}}}>{0}$ and $\displaystyle {\cos{{\left({t}\right)}}}<{0}$, quadrant ;
(c) $\displaystyle {\sin{{\left({t}\right)}}}>{0}$ and $\displaystyle {\cos{{\left({t}\right)}}}>{0}$, quadrant ;
(d) $\displaystyle {\sin{{\left({t}\right)}}}<{0}$ and $\displaystyle {\cos{{\left({t}\right)}}}>{0}$, quadrant ;