Function for this 3D curve

Question

I am trying to plot a 3D surface like the picture below to help depict the relationship between some variables. I have been fiddling with Google Search builtin plotter, trying different equations, but I do not have the knowledge to progress in this issue. I could go on trying random combinations of operators, but I thought maybe you could help...

The 3D surface should be something like this:

This is as far as I have got: $\sqrt{\frac {1}{\cos x + \sin y}}$, but I am sure there is a better way!

Can I have your help? Thank you very much.

To be clear, you are asking what is the equation to the surface you have drawn? — R_D, Jan 13 '16 at 16:10
Hi @Rise, yes, that's what I am asking. Rahul, I plotted your suggestion in Wolfram Alpha but maybe I am doing it wrong? — Jaime Rodríguez-Guerra, Jan 13 '16 at 17:03

score 0 · Accepted Answer · answered Nov 24 '18 at 04:59

Rahul was right; that looks like exactly the right kind of equation. Unfortunately, Wolfram seems to be plotting it in a very unhelpful orientation. Check out grapher.mathpix.com for three-dimensional graphs you can actually control. Here's Rahul's equation with $a=5$, plotted along with the $xy$-, $yz$-, and $xz$-planes so you can focus on the part of the graph in the first octant:

Function for this 3D curve

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