解决方案:COSA = 3/5 0 <α<π
新浪= 0/5
COS(A-π/ 6)
= cosacos(π/ 6)+ sinasin(π/ 6 )
= 3/5×√3/2 4/5×1/2
=(3√3?4)/ 10
∵0<a<π
∴sina>0
∴sina=√(1-cos²a)=√(1-9/25)=4/5
∴cos(a-π/6)=cosacosπ/6+sinasinπ/6
=3/5×√3/2+4/5×1/2
=(3√3+4)/10