已知f(cosx)=cos17x,求f(sinx)的值

问题描述:

已知f(cosx)=cos17x,求f(sinx)的值

f(sinx)
=f[cos(π/2-x)]
=cos[17(π/2-x)]
=cos(4×2π+π/2-17x)
=cos(π/2-17x)
=sin17x