I have the following type of equation which I wish to solve for $t$:
$\frac{x}{\cos(t)} - \frac{y}{\sin(t)} = z$
I have used $c^2 + s^2 = 1$ to get it into the following form:
$x\sqrt{1-\cos^2(t)} - y \cos(t) = z \cos(t)\sqrt{1-\cos^2(t)}$
But now I am a little stuck as to how to continue. Is there another identity, e.g. double angle formulae that I should use?