Thread: How do I proove this

1. How do I proove this

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

2. Originally Posted by nightrider456
How do I proove this, any help would be appreciated
$
\frac{Cosx+Cotx}{1+Sinx} = Cotx
$
$\frac{\sin{x}}{\sin{x}} \cdot \frac{\cos{x} + \cot{x}}{1+\sin{x}} =$

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

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

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