Math Help - Verifying & Proving Trig Identities

1. Verifying & Proving Trig Identities

Not sure if this is where it goes but yeah :P
The question is
(1+tanx)/(1+cotx) = (sinx)/(cosx)

as in
1 + tanx sinx
______ = _____
1 + cotx cosx

Let x be theta

I am stuck on this question
I am thankful for any help

2. use tanx = 1/cotx :

$\dfrac{1+\tan(x)}{1+\cot(x)}=\dfrac{1+\tan(x)}{1+\ frac{1}{\tan(x)}}$

rest is pretty straightforward.. show your work if you are stuck

3. Another way to do this is to change tan and cot into terms of sine and cosine:
$\frac{1+ \frac{sin(x)}{cos(x)}}{1+ \frac{cos(x)}{sin(x)}}$.
Now multiply both numerator and denominator by sin(x)cos(x) to eleminate the "small" fractions.
Then factor and cancel.