证明根号下【1-cos(-200°)/1-sin(-250°)】+根号下【1-sin430°/1+cos340°】=2/sin20°

问题描述:

证明根号下【1-cos(-200°)/1-sin(-250°)】+根号下【1-sin430°/1+cos340°】=2/sin20°

√[1-cos(-200°)/1-sin(-250°)]+√[1-sin430°/1+cos340°]
=√[﹙1+cos20°)/﹙1-cos20°)]+√[﹙1-cos20°)/﹙1+cos20°)]
=﹙1+cos20°)/sin20°+﹙1-cos20°)/sin20°
=2/sin20°