How do you find the intersection of these two trig curves?
$ \cos(x_1) + \cos(x_2) + \cos(x_3) = 1 \\ \sin(x_1) + \sin(x_2) + \sin(x_3) = 0 $
Alternatively, how would you find a general solution for $n$ variables (see below)? Would it be easier to solve this in a different coordinate system?
$ \cos(x_1) + \cos(x_2) + \cdots + \cos(x_n) = 1 \\ \sin(x_1) + \sin(x_2) + \cdots + \sin(x_n) = 0 $
Any help is appreciated. Thank you!