cos(π/4-α)=1/3
cos[π/2-(π/4+α)]=1/3
sin(π/4+α)=1/3
cos²(3π/4+α)-sin(π/4+α)
=cos²[π/2+(π/4+α)]-sin(π/4+α)
=sin²(π/4+α)-sin(π/4+α
=1/9-1/3
=-2/9
cos(π/4-α)=1/3
cos[π/2-(π/4+α)]=1/3
sin(π/4+α)=1/3
cos²(3π/4+α)-sin(π/4+α)
=cos²[π/2+(π/4+α)]-sin(π/4+α)
=sin²(π/4+α)-sin(π/4+α
=1/9-1/3
=-2/9