问题补充:
已知函数f(x)=2(cos^2)x+2根号3sincos-1(x属于R).求函数f(x)周期,对称轴方程.
答案:
f(x)=2(cos^2)x+2√3sincosx-1=2(cos^2)x-1+2√3sincosx
=cos2x+√3sin2x=2sin(2x+π/6)
周期为π 2x+π/6=kπ+π/2 解得对称轴方程为x=kπ/2+π/6 (k属于整数)
希望解释的清楚~
时间:2020-01-10 03:49:38
已知函数f(x)=2(cos^2)x+2根号3sincos-1(x属于R).求函数f(x)周期,对称轴方程.
f(x)=2(cos^2)x+2√3sincosx-1=2(cos^2)x-1+2√3sincosx
=cos2x+√3sin2x=2sin(2x+π/6)
周期为π 2x+π/6=kπ+π/2 解得对称轴方程为x=kπ/2+π/6 (k属于整数)
希望解释的清楚~
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