Power for Ceiling fan power

[Jimi Richards]

If ceiling fan has two switches on the wall but only one is used in fan housing (black is wired to fan and light so one switch turns on fan/light and a remote determines the use and red is capped and 2nd switch is inoperable) can I use that feed(red wire) with shared neutral to wire another fixture (6-10ft away) so I can utilize the unused switch 

[Shaun Palmer]

@Jimi Richards

In theory you should be able to just add a leg to the red wire so long as it is hot.  You would definitely want to verify that there are not any other issues but what you are proposing should work.  If you are concerned about whether or not things are correct, I would advise that you do hire an electrician.  However, this should be a simple thing to do if you know basic wiring.  Hope this helps.