设x∈【0,π/2】,f(x)=sin(cosx),g(x)=cos(sinx),求f(x)与g(x)的最大值和最小值
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设x∈【0,π/2】,f(x)=sin(cosx),g(x)=cos(sinx),求f(x)与g(x)的最大值和最小值
设x∈【0,π/2】,f(x)=sin(cosx),g(x)=cos(sinx),求f(x)与g(x)的最大值和最小值
设x∈【0,π/2】,f(x)=sin(cosx),g(x)=cos(sinx),求f(x)与g(x)的最大值和最小值
x∈【0,π/2】,则cosx∈【0,1】,因此,f(x)=sin(cosx)∈【0,sin1】.f(x)最大值为sin1,最小值为0.
x∈【0,π/2】,则sinx∈【0,1】,因此,g(x)=cos(sinx)∈【cos1,1】.g(x)最大值为1,最小值为cos(1)
f为0到sin1
g为0到cos1
f(x)最大值为sin1,最小值为0.
g(x)最大值为1,最小值为cos(1)
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