# fraction simplify question

• Oct 2nd 2010, 09:18 AM
wolfhound
fraction simplify question
If I have sin( $Pi$ $x$)/cos( $Pi$ $x$)

I know that I cannot cancel the( $Pi$ $x$) on the top and bottom, but in words what is the reason for this? because sin/cos is not defined?

Thanks
• Oct 2nd 2010, 09:27 AM
skeeter
Quote:

Originally Posted by wolfhound
If I have sin( $Pi$ $x$)/cos( $Pi$ $x$)

I know that I cannot cancel the( $Pi$ $x$) on the top and bottom, but in words what is the reason for this? because sin/cos is not defined?

Thanks

$\displaystyle \frac{\sin(\pi x)}{\cos(\pi x)} = \tan(\pi x)$

the arguments for trig functions are not "cancelable" ... yes, $\frac{\sin}{\cos}$ has no meaning.
• Oct 2nd 2010, 09:48 AM
wolfhound
Thanks!