化成正、余弦来求解
原式=tan67°30′-cot67°30′=sin67°30′/cos67°30′-cos67°30′/sin67°30′
=(sin67°30′^2-cos67°30′^2)/(sin67°30′*cos67°30′)
=2(1-2cos67°30′^2)/sin135°
=2*(-cos135°)/sin135°
=2
化成正、余弦来求解
原式=tan67°30′-cot67°30′=sin67°30′/cos67°30′-cos67°30′/sin67°30′
=(sin67°30′^2-cos67°30′^2)/(sin67°30′*cos67°30′)
=2(1-2cos67°30′^2)/sin135°
=2*(-cos135°)/sin135°
=2