Index exceeds the number of array elements error when using fsolve

I'm working on a project in which one part solves for the position solutions from a vector loop equation I generated. The code reads as follows:

%%position solution
%VLE: -R1 - R2 + R3 = 0
%defining fixed/knowns (m) - using average values of males (Table 2)
R1 = 0.4; %length of thigh
R2 = 0.4; %length of shin
th3 = 90*(pi/180); %converted to radians
%using fsolve for position solution *requires installation of optimization toolbox in MatLab 
PAs = zeros(141,3); %empty array for th1 and R3, respectively, (unknowns) to be placed
for ii = 0:140 %to iteart through all possible input angles (degrees)
    theta2 = ii*(pi/180); %converst to radians
    PAs(ii+1,1) = theta2; %fills first spot in array with input value (th2) - knee angle of flexion
    
    F1 = @(x) [-R1*cos(x(2)*(pi/180))-R2*cos(theta2); -R1*sin(x(2)*(pi/180))-R2*sin(theta2)+x(3)];
    
    PAs(ii+1, [2 3]) = fsolve(F1, [0, 0.8]); %initial values (taken from standing leg)
end  

th2 = PAs(:,1);
th1 = PAs(:,2); 
r3 = PAs(:,3);

However, when I run it, I get an error reading "index exceeds number of array elements" and thus fsolve will not compute. Is anyone able to see any issues with my code that would cause this error?

Answer 1

[Stephen23]

Your x0 is a two-element vector, so you told FSOLVE to call the function handle with a two-element vector. But then inside the function you try to access x(3), which thus does not exist.

If you expect the function handle to be called with a three-element vector, then x0 needs to have three elements.

[Kaelyn Smith]

Runs smoothly now, thank you!