How do I proove this

Jan 2010
43
0
How do I proove this, any help would be appreciated
\(\displaystyle
\frac{Cosx+Cotx}{1+Sinx} = Cotx
\)
 

skeeter

MHF Helper
Jun 2008
16,217
6,765
North Texas
How do I proove this, any help would be appreciated
\(\displaystyle
\frac{Cosx+Cotx}{1+Sinx} = Cotx
\)
\(\displaystyle \frac{\sin{x}}{\sin{x}} \cdot \frac{\cos{x} + \cot{x}}{1+\sin{x}} =\)

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

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

\(\displaystyle \frac{\cos{x}}{\sin{x}} = \cot{x}
\)