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