已知函数f(x)满足f(sinx)=cos2x,则f(cosπ/4)=

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已知函数f(x)满足f(sinx)=cos2x,则f(cosπ/4)=已知函数f(x)满足f(sinx)=cos2x,则f(cosπ/4)=已知函数f(x)满足f(sinx)=cos2x,则f(cos

已知函数f(x)满足f(sinx)=cos2x,则f(cosπ/4)=
已知函数f(x)满足f(sinx)=cos2x,则f(cosπ/4)=

已知函数f(x)满足f(sinx)=cos2x,则f(cosπ/4)=
设sinx=t
cos2x=1-2t^2
f(x)=1-2x^2
f(cosπ/4)= 1-2*(cosπ/4)^2
=1-2*(1/2)
=0