已知函数y=sin1/2x+√3cos1/2x,求1)函数y的最大值、最小值及最小正周期;2)函数y的单调增区间

y=2(1/2sin1/2x++√3/2cos1/2x)=2sin(1/2x+π/3）,1)所以,1/2x+π/3=π/2+2kπ时,即x=π/3+4kπ时,ymax=2；1/2x+π/3=-π/2+2kπ时,即x=-5π/3+4kπ时,ymin=-2；最小正周期T=2π/(1/2)=4π,2)当函数在-π/2+2kπ...