cos(π-a)=2√2/3=-cosa
cosa=-2√2/3
a在第三象限
sina=-1/3
cos²(π/4-a/2)+sin(3π+a/2)sin(3π/2-a/2)
=[1+cos(π/2-a)]/2+sin(a/2)cos(a/2)
=1/2+1/2cosa+1/2sina
=1/2+1/2(-2√2/3-1/3)
=1/3-√2/3
cos(π-a)=2√2/3=-cosa
cosa=-2√2/3
a在第三象限
sina=-1/3
cos²(π/4-a/2)+sin(3π+a/2)sin(3π/2-a/2)
=[1+cos(π/2-a)]/2+sin(a/2)cos(a/2)
=1/2+1/2cosa+1/2sina
=1/2+1/2(-2√2/3-1/3)
=1/3-√2/3