2016-11-07 21:07发布
(2)f(x)=2-sin(x-π/4),x属于(0,π)求值域
x属于(0,π)
X=3π/4,时
sin(x-π/4)=sin(3π/4-π/4)=sin π/2=1
X=0时,sin(-π/4)=-√2/2(取得最小值)
所以f(x)=2-sin(x-π/4)最大值2+√2/2
最小值2-1=1
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x属于(0,π)
X=3π/4,时
sin(x-π/4)=sin(3π/4-π/4)=sin π/2=1
X=0时,sin(-π/4)=-√2/2(取得最小值)
所以f(x)=2-sin(x-π/4)最大值2+√2/2
最小值2-1=1
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