已知向量a＝(2,sinx),b＝(sin^2x,2cosx),函数f(x)a乘b.求f(x)单调区间

f(x)=a.b=2sin²x+2sinxcosx=1-cos2x+sin2x=√2[sin(2x)*cos(π/4)-cos(2x)*sin(π/4)]+1=√2sin(2x-π/4)+1(1)增区间2kπ-π/2≤2x-π/4≤2kπ+π/22kπ-π/4≤2x≤2kπ+3π/4kπ-π/8≤x≤kπ+3π/8增区间【k...