已知sina-cosa=1/2,求sin^3a-cos^3a的值

问题描述:

已知sina-cosa=1/2,求sin^3a-cos^3a的值

sin^3a-cos^3a=﹙sina-cosa﹚﹙sin²a+siacosa+cos²a﹚=﹙sina-cosa﹚﹙1+sinacosa﹚∵sina-cosa=1/2﹙sina-cosa﹚²=﹙1/2﹚²∴sin²a-2siacosa+cos²a=1/4∴2sinacosa=3/4sinaco...