(cosx+sinx)平方+根号3倍cos2x-1在区间(O,π/2)的最大值和最小值
问题描述:
(cosx+sinx)平方+根号3倍cos2x-1在区间(O,π/2)的最大值和最小值
答
y=(sinx+cosx)²+√3cos2x-1
=sin²x+cos²x+2sinxconx+√3cos2x-1
=1+sin2x+√3cos2x-1
=2sin(2x+π/3)
0