三角函数公式

阅读 / 问答 / 标签

高中数学用得到的三角函数公式及其解释。

1.和角公式sin(xy)=sinxcosycosxsiny(Sxy)cos(xy)=cosxcosy-sinxsiny(Cxy)tan(xy)=tanxtany/1-tanxtany(Txy)2.差角公式sin(x-y)=sinxcosy-cosxsiny(Sx-y)cos(x-y)=cosxcosysinxsiny(Cx-y)tan(x-y)=tanx-tany/1tanxtany(Tx-y)3.倍角公式sin2x=2sinxcosxcos2x=(cos^2)x-(sin^2)x=2(cos^2)x-1=1-2sin^2xtan2x=2tanx/1-(tan^2)xsin3x=3sinx-4(sin^3)xcos3x=4(cos^3)x-3cosxtan3x=3tanx-(tan^3)x/1-3(tan^2)x4.降幂公式(sin^2)x=1-cos2x/2(cos^2)x=i=cos2x/2PS:如果你还没学必修3的话(我告诉你^是次方的意思,如X^2就是2次方)