MATLAB: No solution found when solving 3 non linear equations

Question

Good day every one

I have been trying to sove 3 non linear equations but i am "No solution found" report.

The code is as follows

I defined a function containing the 3 non linear equations in an mfile called "angle"

function F=myfunction(x)
F(1)=cos(-x(1)+x(2))+cos(-x(1)+x(3));
F(2)=cos(-x(2)+x(1))+cos(-x(2)+x(3));
F(3)=cos(-x(3)+x(1))+cos(-x(3)+x(2)); 

After running code

deltarad=fsolve(@yyyyy,rand([3 1]))

I get the following report

No solution found.
fsolve stopped because the problem appears regular as measured by the gradient,
but the vector of function values is not near zero as measured by the
default value of the function tolerance.
<stopping criteria details>
deltarad =
  -60.5208
  -62.8602
  -61.6905
fsolve stopped because the sum of squared function values, r, has gradient with
relative norm 7.341307e-07; this is less than options.OptimalityTolerance = 1.000000e-06.
However, r = 7.954251e-01, exceeds sqrt(options.FunctionTolerance) = 1.000000e-03.
Optimization Metric                                          Options
norm(grad r) =   7.34e-07                        OptimalityTolerance =   1e-06 (default)
r =   7.95e-01                               sqrt(FunctionTolerance) =  1.0e-03 (default)

Answer 1

A numerical sweep also gives evidence that there is no solution

[x1,x2,x3]=ndgrid(linspace(-pi,+pi,512));
F1=cos(-x1+x2)+cos(-x1+x3);
F2=cos(-x2+x1)+cos(-x2+x3);
F3=cos(-x3+x1)+cos(-x3+x2); 
F=[abs(F1(:)), abs(F2(:)), abs(F3(:))];
Fmin = min(sum(F,2))

Fmin =
    1.0142