sin460°·sin(-160°)+cos560°·cos(-280°)

问题描述:

sin460°·sin(-160°)+cos560°·cos(-280°)

原式=sin100°·sin200°+cos200°·cos80°
=sin80°·sin200°+cos200°·cos80° (余弦公式)
=cos(200°-80)°
=cos120°
=-cos60°
=-1/2