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查看完整版本 : 如何求解三元三角函数方程组


refoxpro
2008-11-02, 23:27
这是一个空间三维机器人转角的变换矩阵,thet1,thet2,thet3,为未知量

5*cos(thet1)*(31*sin(thet2)*cos(thet3)+31*cos(thet2)*sin(thet3)-128*sin(thet2)*sin(thet3)+128*cos(thet2)*cos(thet3)+114*sin(thet2)+30)=790

5*sin(thet1)*(31*sin(thet2)*cos(thet3)+31*cos(thet2)*sin(thet3)-128*sin(thet2)*sin(thet3)+128*cos(thet2)*cos(thet3)+114*sin(thet2)+30)=0

155*cos(thet2+thet3)-640*sin(thet2+thet3)+570*cos(thet2)=725

各位高手如何求其中的三个thet解,多谢

anbcjys
2008-11-03, 08:03
三个方程三个未知数,可以解出具体值,但是不值一个,是不是有范围要求

refoxpro
2008-11-06, 18:09
对,你说得对,有多个解,问题已经解决,一式与二式先平方,再相加就可求出