Y=cos2x+cos(2x+派/6)+1的对称中心

问题描述:

Y=cos2x+cos(2x+派/6)+1的对称中心

∵Y=cos2x+cos2xcosπ/6+sin2xsinπ/6+1
=cos2x+1/2cos2x+√3/2sin2x+1
=3/2cos2x+√3/2sin2x+1
=√3(√3/2cos2x+1/2sin2x)
=√3sin(2x+π/3)
∴2x+π/3=kπ+π/2 k属于Z
对称轴为直线x=kπ/2+π/12 k属于Z
那啥……要注意将解析式变通~那样不就是很好写了哈!