hello, can someone please show me how the roots of z tan z = k , where k > 0 are real is solved.

what i have done; z tan z = $\displaystyle z * \frac{sinz}{cosz} $

by Euler equations $\displaystyle (x+iy) * \frac{e^i^z- e^-^i^z}{2i} / \frac{e^i^z + e^-^i^z}{2} $

$\displaystyle (x+iy) * \frac{e^i^z- e^-^i^z}{2i} / \frac{e^i^z + e^-^i^z}{2} $

$\displaystyle (x+iy) * \frac{e^i^z - e^-^i^z} { i(e^i^z + e^-^i^z)}$

would appreciate some help solving this thanks guys