sin（2009π/4) = sin（2008π/4+π/4)=sin(502π+π/4)=sinπ/4=根号2/2
cos4^x-sin4^2x+2sin2^x
=(1-sin^2x)^2-sin4^2x+2sin2^x
=1-2sin^2x+sin^4x-sin4^2x+2sin2^x
=1