If $\sin x + \cos x = \frac{\sqrt{3} + 1}{2}$ then $\tan x + \cot x=?$ Hello :)
I hit a problem.
If $\sin x + \cos x = \frac{\sqrt{3} + 1}{2}$, then how much is $\tan x  + \cot x$?

HINT.


*

*$\tan{x}+\cot{x} = \frac{1}{\sin{x} \cdot \cos{x}}$

*$(\sin{x}+\cos{x})^{2} -1 = 2 \sin{x} \cdot \cos{x}$
