【高一数学】求三角函数的最小正周期和递减区间》》》

问题描述:

【高一数学】求三角函数的最小正周期和递减区间》》》
求函数f(x)=sin(π/3+4x)+cos(4x-π/6)的最小正周期和递减区间.

f(x)=sin(π/3+4x)+cos(4x-π/6)
=sin(4x+π/3)+cos(4x-π/2+π/3)
=sin(4x+π/3)+sin(4x+π/3)
=2sin(4x+π/3)
T=2π/4=π/2
当2kπ+π/2