Find the terminal point P(x,y)\displaystyle {P}{\left({x},{y}\right)} on the unit circle determined by the given value of t\displaystyle {t}:
(a) If t=π2\displaystyle {t}={\frac{{\pi}}{{{2}}}}, then x=\displaystyle {x}=   and y=\displaystyle {y}=   ;
(b) If t=π2\displaystyle {t}=-{\frac{{\pi}}{{{2}}}}, then x=\displaystyle {x}=   and y=\displaystyle {y}=   ;
(c) If t=π3\displaystyle {t}={\frac{{\pi}}{{{3}}}}, then x=\displaystyle {x}=   and y=\displaystyle {y}=   ;
(d) If t=π3\displaystyle {t}=-{\frac{{\pi}}{{{3}}}}, then x=\displaystyle {x}=   and y=\displaystyle {y}=   ;
(e) If t=3π4\displaystyle {t}={\frac{{{3}\pi}}{{{4}}}}, then x=\displaystyle {x}=   and y=\displaystyle {y}=   ;
(f) If t=3π4\displaystyle {t}=-{\frac{{{3}\pi}}{{{4}}}}, then x=\displaystyle {x}=   and y=\displaystyle {y}=   ;