已知f(cosx)=cos17x,求f(sinx)的值
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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
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