作业帮 > 数学 > 作业

②若cos(已知α是第三象限角f(α)=sin(π-α)cos(2π-α)tan(-α-π)/tan(-α)sin(-π

来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/11/10 20:57:00
②若cos(已知α是第三象限角f(α)=sin(π-α)cos(2π-α)tan(-α-π)/tan(-α)sin(-π-α)求①化简f(α)②若cos(α-3/2π)=1/5求f(α)的值③若α=-1860°求f(α)的值
②若cos(已知α是第三象限角f(α)=sin(π-α)cos(2π-α)tan(-α-π)/tan(-α)sin(-π
f(α)=sin(π-α)cos(2π-α)tan(-α-π)/tan(-α)sin(-π-α)
=sinα * cosα * (-tanα) /[(-tanα)*sinα]
=cosα
cos(α-3/2 π)=-cosα=1/5
f(α)=cosα=-1/5
f(-1860°)=cos(-1860°)=cos(1860°)=cos(10*180°+60)=cos60°=1/2