y=cos[2(x-0.25)]-cos(x-0.25)
=2[cos(x-0.25)]^2-cos(x-0.25)-1
=2[cos(x-0.25)-0.25]^2-9/8
cos(x-0.25)当x属于[0,pai]时的值域是[cos(pai-0.25),1]
当x=0.25时,y有最小值-9/8
当x=pai时,y有最大值cos0.5+cos0.25
你可能对当x=pai时,y有最大值cos0.5+cos0.25有疑惑,
我们不妨比较一下cos(pai-0.25)-0.25和1-0.25
相加得到cos(pai-0.25)+0.5即-cos(0.25)+cos(pai/3)
因为0.25