y=sin2x+cos2x-1的值域是

来源:学生作业帮助网 编辑:六六作业网 时间:2024/07/10 16:06:20
y=sin2x+cos2x-1的值域是y=sin2x+cos2x-1的值域是y=sin2x+cos2x-1的值域是y=sin2x+cos2x-1=√2*sin(2x+π/4)-1所以值域是[-√2-1

y=sin2x+cos2x-1的值域是
y=sin2x+cos2x-1的值域是

y=sin2x+cos2x-1的值域是
y=sin2x+cos2x-1
=√2*sin(2x+π/4)-1
所以值域是[-√2-1,√2-1]

y=sin2x+cos2x-1=根2*sin(x+pi/4)-1>=-根2-1
y=sin2x+cos2x-1=根2*sin(x+pi/4)-1<=根2-1
值载为:[,>=-根2-1,根2-1]

y=sin2x+cos2x-1
=√2(√2/2sin2x+√2/2cosx)-1
=√2sin(2x+π/4)-1
所以它的值域为:(-√2-1,√2-1)