已知函数fx=2sin(x+π/3)设a=fπ/7,b=fπ/6,c=fπ/3则abc的大小关系
已知函数fx=2sin(x+π/3)设a=fπ/7,b=fπ/6,c=fπ/3则abc的大小关系
日期:2015-01-03 10:27:08 人气:1
原题是:已知函数f(x)=2sin(x+π/3),设a=f(π/7),b=f(π/6),c=f(π/3).则a、b、c的大小关系是____.
解:a=2sin(π/7+π/3)=2sin(10π/21)
b=2sin(π/6+π/3)=2sin(π/2)
c=2sin(π/3+π/3)=2sin(2π/3)=2sin(π-2π/3)=2sin(π/3)