How do I proove this

nightrider456

How do I proove this, any help would be appreciated
$$\displaystyle \frac{Cosx+Cotx}{1+Sinx} = Cotx$$

skeeter

MHF Helper
How do I proove this, any help would be appreciated
$$\displaystyle \frac{Cosx+Cotx}{1+Sinx} = Cotx$$
$$\displaystyle \frac{\sin{x}}{\sin{x}} \cdot \frac{\cos{x} + \cot{x}}{1+\sin{x}} =$$

$$\displaystyle \frac{\sin{x}\cos{x} + \cos{x}}{\sin{x}(1+\sin{x})} =$$

$$\displaystyle \frac{\cos{x}(\sin{x}+1)}{\sin{x}(1+\sin{x})} =$$

$$\displaystyle \frac{\cos{x}}{\sin{x}} = \cot{x}$$