函数f(x)=√3cos2/5x+sin2/5x的图像相邻的两条对称轴之间的距离是----
问题描述:
函数f(x)=√3cos2/5x+sin2/5x的图像相邻的两条对称轴之间的距离是----
答
f(x)=√3cos(2x/5)+sin(2x/5)=2[√3cos(2x/5)/2+sin(2x/5)/2]=2[sin(π/3)cos(2x/5)+cos(π/3)sin(2x/5)]=2sin(2x/5+π/3)f(x)的周期为2π/(2/5)=5π2sin(2x/5+π/3)的对称轴之间的距离即为f(x)的半周期f(x)两条对称...