- 高一正弦和角公示试题已知sin(30°+α)=3/5,60°&l
- 已知sin(30°+α)=3/5,60°<α<150°,求cα的值
- 已知sin(30°+α)=3/5, 60°<α<150°,求cosα的值
60°<α<150°--->90°<30°+α<180°
sin(30°+α)=3/5---->cos(30°+α)=-4/5
cosα=cos[(30°+α)-30°]
=cos(30°+α)cos30°+sin(30°+α)sin30°
=(-4/5)(√3/2)+(3/5)(1/2)
=(3-4√3)/10