y=2sin(2x-π/3)+3的单调减区间,对称轴,对称中心

问题描述:

y=2sin(2x-π/3)+3的单调减区间,对称轴,对称中心

∵f(x)=sinx在[π/2,3π/2]上单调递减;
∴π/2≤2x-π/3≤3π/2
5π/12≤x≤11π/12
∴y=2sin(2x-π/3)+3在[5π/12,11π/12]上单调递减;