求1/sin50度+根号3/cos50度

问题描述:

求1/sin50度+根号3/cos50度

1/sin50°+√3/cos50°=(cos50°+√3sin50°)/(sin50°*cos50°)=2*[(1/2)cos50°+(√3/2)*sin50°]/(sin50°*cos50°)=2*sin(30+50)°/(1/2)*sin100°=4*sin80°/sin100°=4*sin100°/sin100°=4