计算tan70°+tan80°—根号3/3tan70°tan80°的值

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/15 19:25:48
计算tan70°+tan80°—根号3/3tan70°tan80°的值计算tan70°+tan80°—根号3/3tan70°tan80°的值计算tan70°+tan80°—根号3/3tan70°tan

计算tan70°+tan80°—根号3/3tan70°tan80°的值
计算tan70°+tan80°—根号3/3tan70°tan80°的值

计算tan70°+tan80°—根号3/3tan70°tan80°的值
tan150=-√3/3=tan(70+80)=(tan70+tan80)/(1-tan70tan80)
tan70+tan80=(-√3/3)(1-tan70tan80)
tan70+tan80=-√3/3+√3/3tan70tan80
所以tan70+tan80-√3/3tan70tan80=-√3/3