arctan1+arctan2+arctan3=

来源：学生作业帮编辑：拍题作业网作业帮分类：数学作业时间：2024/05/01 16:58:56

设arctan1+arctan2+arctan3=x 那么tanx=tan(arctan1+arctan2+arctan3) =(tan(arctan1+arctan2)+tan(arctan3))/(1-tan(arctan1+arctan2)tan(arctan3) =(tan(arctan1+arctan2)+3)/(1-tan(arctan1+arctan2)*3) 又tan(arctan1+arctan2)=(tan(arctan1)+tan(arctan2))/(1-tan(arctan1)*tan(arctan2))=(1+2)/(1-2) =-3 所以tanx=(-3+3)/(1-(-3)*3)=0 而arctan1 arctan2 arctan3 都是锐角故有x=π,即arctan1+arctan2+arctan3=π

arctan1+arctan2+arctan3= arctan1+arctan2+arctan3=? 求证arctan1+arctan2+arctan3=pai 求证arctan1+arctan2+arctan3=π. arctan3-arctan2=arctan1/7怎么算的啊求arctan1+arctan2+arctan3的值 arctan1+arctan2+arctan3的计算过程?(不用计算器) tan(arctan1/5+arctan3)= 求函数值的题求arctan1+arctan2+arctan3的值 tan（arctan1/5+arctan3) arctan1+arctan2+arctan等于多少 arctan2/x+arctan3/x=45°求x的值