solving 4 equation with 4 unkowns

good evening

i've been trying to solve these 4 equations using fsolve but the error Index exceeds array bounds. Kept appearing.

i've read multiple posts with the same problem but i couldn' solve the problem

is there anything wrong in the equations that i haven't noticed ?

thanks for the help

function F = myfun(x) 
F = [ 
  x(4) -135 +x(2);
 130*cos(x(1)) - 31.7*cos(x(2)) - 140*cos(x(3)) - 146.4*cos(172.15);
 130*sin(x(1)) - 31.7*sin(x(2)) - 140*sin(x(3)) - 146.4*sin(172.15);
 -45*cos(x(4)) + 70*cos(x(5)) - 140*cos(x(3)) - 53.85*cos(68.198);
 -45*sin(x(4)) + 70*sin(x(5)) - 140*sin(x(3)) - 53.85*sin(68.198);
];
end

[Lubos Smolik]

Could you also provide your main script? It appears that there are 5 equations in your function.

[Omar H.]

thank you for commenting Lubos smolik

i'm a new user and i'm still learning.

i'm trying to solve a problem in one of my classes there are 5 unknowns and 4 equations

r2cos(x1) - r3cos(x2) - r4cos(x3) - r1cos(x10)

r2sin(x1) - r3sin(x2) - r4sin(x3) - r1sin(x10)

r5cos(x4) - r6cos(x5) - r4cos(x3) - r7cos(x11)

r5sin(x4) - r6sin(x5) - r4sin(x3) - r7sin(x11)

Where r2=130 r3=3.7 r4=140 r1=146.4 x10=172.15 r5=45 r6=70 r7=53.85 x11=68.198

and a fifth one between

x(4) = x(2) + 135

Answer 1

[darova]

It's because of the way you concantenate your equations

Example of two different declarations

[1 - 2]
ans =
    -1
[1 -2]
ans =
     1    -2

Better practice would be:

F = zeros(5,1);
F(1) = x(4) -135 +x(2);
F(2) = 130*cos(x(1)) - 31.7*cos(x(2)) - 140*cos(x(3)) - 146.4*cos(172.15);