I am trying to solve this system of equations but without any results.
How can I solve this system of equations (in real numbers)?
$$\sin^2 x + \cos^2 y = \tan^2 z$$
$$\sin^2 y + \cos^2 z = \tan^2 x$$
$$\sin^2 z + \cos^2 x = \tan^2 y$$
Thanks in advance.