f(x)=5sin(2x-π/3)x∈R 求f(x)单调区间 对称轴和对称中心

问题描述:

f(x)=5sin(2x-π/3)x∈R 求f(x)单调区间 对称轴和对称中心

由2kπ-π/2≤2x-π/3≤2kπ+π/2,k∈Z得:kπ-π/12≤x≤kπ+5π/12,k∈Z∴单调递增区间[kπ-π/12,kπ+5π/12]k∈Z单调递减区间[kπ+5π/12,kπ+11π/12]k∈Z由2x-π/3=kπ+π/2,k∈Z得对称轴x=kπ/2+5π/12,k∈Z...