Solving a system of equations with multiple solutions

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Tuan Hua 2017-10-30

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评论： Tuan Hua 2017-10-30

采纳的回答： Birdman

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Hi everyone,

I am having a problem that I have to solve 2 equations with 3 variables, which means that there will be mutiple solutions. My 2 equatons are:

cos(theta1)*sin(theta3 - pi/2) + cos(theta3 - pi/2)*sin(theta1) + d2*cos(theta1) - 2 = 0
sin(theta1)*sin(theta3 - pi/2) - cos(theta1)*cos(theta3 - pi/2) + d2*sin(theta1) = 0

And the variables are theta1, theta3, d2. I am sure that there will be expressions that show the relation between these variables. But I dont know how to find them?

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采纳的回答

Birdman 2017-10-30

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https://ww2.mathworks.cn/matlabcentral/answers/364028-solving-a-system-of-equations-with-multiple-solutions#answer_288449

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syms theta1 theta3 d2
eqn1=cos(theta1)*sin(theta3-pi/2)+cos(theta3-pi/2)*sin(theta1)+d2*cos(theta1)-2==0;
eqn2=sin(theta1)*sin(theta3-pi/2)-cos(theta1)*cos(theta3-pi/2)+d2*sin(theta1)==0;
sol=solve(eqn1,eqn2);
%%the solutions are found in terms of d2
sol.theta1
sol.theta3