若f(cosx)=2-sin2x,则f(sinx)=?A.2-cos2x B.2+sin2x C.2-sin2x D.2+cos2x
问题描述:
若f(cosx)=2-sin2x,则f(sinx)=?A.2-cos2x B.2+sin2x C.2-sin2x D.2+cos2x
答
原式=f[cos(π/2-x)]
=2-sin[2(π/2-x)]
=2-sin(π-2x)
=2-sin2x
选C