How can I get all possible coordinate from implicit function ?

How can I get all possible coordinate (x,y,z) from this function function

cos(x) + cos(y) + cos(z) = 0

I've tried this but, it did work.

syms X Y Z z 
counter = 1;

for x = -5:5
for y = -5:5
    
 Data.X(counter) = x;
 Data.Y(counter) = y;
 Data.Z(counter) = solve(cos(x) + cos(y) + cos(z) == 0,z);
 counter = counter + 1 ;
 
end
end

Answer 1

[Sean de Wolski]

zz = acos(-(cos(-5:5)+cos((-5:5).')))


% Check
norm(cos(-5:5) + cos((-5:5).') + cos(zz))

[Teerapong Poltue]

thanks