为什么sint/(1-cost)=cot(t/2)

来源:学生作业学帮网 编辑:学帮网 时间:2024/05/14 02:46:45

为什么sint/(1-cost)=cot(t/2)

sint = 2sin(t/2)cos(t/2)
1-cost = 1-(1-2sin²(t/2))=2sin²(t/2)
所以
sint/(1-cost)=2sin(t/2)cos(t/2)/2sin²(t/2)=cos(t/2)/sin(t/2)=cot(t/2)