y=cos(a+л/4)+sin2a
=cos(a+л/4)+cos(л/2-2a)
=cos(a+л/4)-cos[-2a-л/2]
=cos(a+л/4)-cos[2(a+л/4)]
=-2[cos(a+л/4)]^2+cos(a+л/4)+1
令t=cos(a+л/4),则1/2
y=cos(a+л/4)+sin2a
=cos(a+л/4)+cos(л/2-2a)
=cos(a+л/4)-cos[-2a-л/2]
=cos(a+л/4)-cos[2(a+л/4)]
=-2[cos(a+л/4)]^2+cos(a+л/4)+1
令t=cos(a+л/4),则1/2