f(sinx)=2sin²x-cos2x
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f(sinx)=2sin²x-cos2x
f(sinx)=2sin²x-cos2x
f(sinx)=2sin²x-cos2x
f(sinx)=2sin^2x-cos^2x+sin^2x
=3sin^2x-(1-sin^2x)
=4sin^2x-1
所以f(x)=4x^2-1