求函数y=sin方x+sinxcos(派/6-x)的周期和单调递增区间,

问题描述:

求函数y=sin方x+sinxcos(派/6-x)的周期和单调递增区间,

y=sin方x+sinxcos(派/6-x)
=(3/2)sin²x+(√3/2)sinxcosx
=(√3/2)sin(2x-π/3)+3/4
周期为 π
增区间为[kπ-π/12,kπ+5π/12] k∈Z