参考・概略です
●多いので、式と答えです。(全て公式に当てはめています)
(1) sin{(7/8)π}
=sin{(π/2)+(3/8)π}
=cos{(3/8)π}
(2) tan{(5/6)π}
=tan{(π/2)+(π/3)}
=-1/tan{(π/3)}
(3) sin{(3/4)π}
=sin{π-(π/4)}
=sin{(π/4)}
(4) cos{(5/6)π}
=cos{π-(π/6)}
=-cos{(π/6)}
(5) cos{(3/8)π}
=cos{(π/2)-(π/8)}
=sin{(π/8)}
(6) tan{(π/4)}
=tan{(π/2)-(π/4)}
=1/tan{(π/4)}