问题描述： sinθ-cosθ=1/2,则sin^3θ-cos^3θ=?. 1个回答 分类：数学 2014-10-19 问题解答： 我来补答 sin^3θ-cos^3θ=(sin^θ-cos^θ)(sin^2θ+sin^θcos^θ+cos^2θ)sinθ-cosθ=1/2,(sinθ-cosθ)^2=sin^2θ-2sin^θcos^θ+cos^2θ=1-2sin^θcos^θ=1/4sin^θcos^θ=3/8sin^3θ-cos^3θ=(sin^θ-cos^θ)(sin^2θ+sin^θcos^θ+cos^2θ)=1/2*(1+3/8)=11/16 展开全文阅读
