函数f(x)=sinx-sin(x-3分之派)的最大值是多少?如题

问题描述:

函数f(x)=sinx-sin(x-3分之派)的最大值是多少?如题
急用啊

f(x)=sinx-sin(x-π/3) =sinx-sinxcos(π/3)+cosxsin(π/3) =sinx-1/2sinx+cosxsin(π/3) =1/2sinx+cosxsin(π/3) 显然最大值是1,此时x=π/3+2kπ(k为整数)