how to solve this system of equation? (not sure what it's called/)

syms f0 fa n t
>> eqn1 = fo*cosd(t)+fa*sind(15)==0;
>> eqn2 = fo*sind(t)+n-fa*cosd(15)==0;
>> eqn3 = n*1.2-fa*sind(15)*2.4*sind(30)-fa*cosd(15)*2.4*cosd(30)==0;
>> eqn4= -n*(2.4+2.4*cosd(30))-fo*sind(t)*2.4*sind(30)+fo*cosd(t)*2.4*cosd(30)==0;

Answer 1

[Dana]

syms fo fa n t  % note you had f0 instead of fo here in your original post
eqn1 = fo*cosd(t)+fa*sind(15)==0;
eqn2 = fo*sind(t)+n-fa*cosd(15)==0;
eqn3 = n*1.2-fa*sind(15)*2.4*sind(30)-fa*cosd(15)*2.4*cosd(30)==0;
eqn4= -n*(2.4+2.4*cosd(30))-fo*sind(t)*2.4*sind(30)+fo*cosd(t)*2.4*cosd(30)==0;

S = solve(eqn1,eqn2,eqn3,eqn4,fo,fa,n,t);

Though it appears the solutions are pretty trivial: everything is zero except for t, which can be either 0 or 180 (in both of these cases, sind(t)=0).

[Waritwong Sukprasongdee]

so if in general case how to find it using matlab

[Dana]

What general case?