（1）已知f(cosx)=cos17x,求证f(sinx）=sin17x （2）已知f(sinx)=cos17x求f(1\2)的值

(1),f(sinx)=f[cos(π/2-x)]=cos17(π/2-x)=cos(17π/2-17x)=cos(π/2-17x)=sin17x.
(2),f(sinx)=cos17x,令sinx=1/2,则：x=2kπ+π/6,或x=2kπ+5π/6,（k为整数）
当x=2kπ+π/6时,cos17x=cos(34kπ+17π/6)=cos5π/6=-√3/2；
当x=2kπ+5π/6时,cos17x=cos(34kπ+85π/6)=cosπ/6=√3/2.
所以f(1/2)=√3/2,或-√3/2.