y=2cos(2x+π/3)+1,x∈【0,π/2】的值域
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y=2cos(2x+π/3)+1,x∈【0,π/2】的值域y=2cos(2x+π/3)+1,x∈【0,π/2】的值域y=2cos(2x+π/3)+1,x∈【0,π/2】的值域令2X+π|3=T因为x∈
y=2cos(2x+π/3)+1,x∈【0,π/2】的值域
y=2cos(2x+π/3)+1,x∈【0,π/2】的值域
y=2cos(2x+π/3)+1,x∈【0,π/2】的值域
令2X+π|3=T
因为x∈【0,π/2】
所以 0《2X《π
π/3《2X+π|3《4π/3
所以π/3《T《4π/3
Y=2cosT (π/3《T《4π/3)
由Y=COSX的图像知
Y=cosT T∈【π/3,4π/3】
的取值范围是【-1,½】
由此可知Y=2cosT +1的取值范围是【-1,2】
[1-√3,2]
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