计算:sin方10°+sin方20°+sin方30°+sin方40°+sin方50°+sin方60°+sin方70°+sin方80°+sin方90°=
问题描述：
计算:sin方10°+sin方20°+sin方30°+sin方40°+sin方50°+sin方60°+sin方70°+sin方80°+sin方90°=
答
sin方10°+sin方20°+sin方30°+sin方40°+sin方50°+sin方60°+sin方70°+sin方80°+sin方90°
=sin²10+sin²80+sin²20+sin²70+sin²30+sin²60+sin²40+sin²50+1
=(sin²10+cos²10)+(sin²20+cos²20)+(sin²30+cos²30)+(sin²40+cos²40)+1
=1+1+1+1+1
=5