f(x)=sinxcosx+sin2x=(1/2)sin2x+sin2x=(3/2)sin2x
(1)f(π/4)=(3/2)sinπ/2=3/2
(2)当2x=π/2、即x=π/4时,f(x)取得最大值为f(π/4)=(3/2)sinπ/2=3/2.
f(x)=sinxcosx+sin2x=(1/2)sin2x+sin2x=(3/2)sin2x
(1)f(π/4)=(3/2)sinπ/2=3/2
(2)当2x=π/2、即x=π/4时,f(x)取得最大值为f(π/4)=(3/2)sinπ/2=3/2.