Iteration functions for Fixed Point method

[carlosbgois]

Hi there. I need to find some iteration functions for x - 2\frac{sin(x)}{cos(x)}=0, as g(x)=2\frac{sin(x)}{cos(x)} does not converge. I can't find any others, maybe I didn't quite undertood how they're built. Any help will be appreciated

Thanks

 

[mfb]

You could check g(x)=arcsin(\frac{x \cos(x)}{2}) and g(x)=arccos(\frac{2 \sin(x)}{x}) and g(x)=arctan(x/2)? That is just your formula, with different ways to isolate an x at one side.