How to solve the symbolic nonlinear equation

the system of equation has two nonlinear equations in two variables. The equations are:

F(1) = (x(1)-b2*cos(theta2)+a)^2+(x(2)-b2*sin(theta2))^2-c2^2;
F(2) = (x(1)-b1*cos(theta1)+a)^2+(x(2)-b1*sin(theta1))^2-c1^2;

Thanks!

[madhan ravi]

what are the values of parameters? fsolve() can be used, upload your code.

[Dikra dikra]

I want to solve symbolically this system by using:

syms b2 a c2 c1 b1 theta2 theta1

the variables are x(1) and x(2)

Answer 1

[madhan ravi]

syms  b2 a c2 c1 b1 theta2 theta1 x1 x2   % x1 is x(1) so is x2
F=zeros(2,1);
e1=F(1) == (x1-b2*cos(theta2)+a)^2+(x2-b2*sin(theta2))^2-c2^2;
e2=F(2) == (x1-b1*cos(theta1)+a)^2+(x2-b1*sin(theta1))^2-c1^2;

[x1,x2]=solve(e1,e2,x1,x2)

[Dikra dikra]

Thankn you. but why F=zeros(2,1)?

[madhan ravi]

Anytime :) , read more about preallocation it's just filling a variable with values after defining the nature of it , if my answer helped make sure to accept the answer.