设f(sinx)=cos2x+1求f(cos*x)

题目

设f(sinx)=cos2x+1求f(cos*x)

答案

f(sinx)=cos2x+1
=1-2sin^2 x+1
=2-2sin^2 x
f(cosx)=2-2cos^2 x
=2(1-cos^2 x)
=2sin^2 x
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