y=a+bsinx的最大值为3/2,最小值为-1/2,求a和b的值.
a+｜b｜=3/2.(1)
a-｜b｜=-1/2.(2)
(1)+(2):2a=1,a=1/2
(1)-(2):2｜b｜=2,｜b｜=1,b=±1
∴a=1/2,b=±1