# How do I proove this

• Jun 8th 2010, 04:25 PM
nightrider456
How do I proove this
How do I proove this, any help would be appreciated
$
\frac{Cosx+Cotx}{1+Sinx} = Cotx
$
• Jun 8th 2010, 06:47 PM
skeeter
Quote:

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}
$