sin³θ﹣cos³θ=(sinθ-cosθ)(sin²θ+sinθcosθ+cos²θ)=1/2(1+sinθcosθ)1/4=(sinθ﹣cosθ)²=sin²θ+cos²θ-2sinθcosθ=1-2sinθcosθ∴sinθcosθ=3/8∴sin³θ﹣cos...