Q. How do I cite President Obama's inaugural address in a sociology paper which was broadcasted on Channel 2?
I suggest you use the Purdue's Excelsior Online Writing Lab. This page https://owl.excelsior.edu/citation-and-documentation/mla-style/mla-works-cited/interviews/ shows how to cite a speech in MLA format. Scroll down to Lecture or Speech.
Citing a speech in APA style is a bit less straight forward. According to the APA Style Blog (http://blog.apastyle.org/apastyle/2009/10/how-to-cite-a-speech-in-apa-style.html), you don't actually cite the speech, you cite the source in which you found the speech. Channel 2 is an NBC offliate. Because the President's inaugural address is a national broadcast you would cite NBC as the broadcaster. You can use the same guide https://owl.excelsior.edu/citation-and-documentation/apa-style/apa-references/television-film-videos-apa-references/ to see how to cite a television broadcast in APA style. The Owl will tell you to cite the shows producer or episode writer as the author. You can try googling or visiting the NBC website to find out who the producer is, if you can not, it is probably safe to cite NBC news as the author. However as with all citations we can only give guidelines, you should check with your professor, and all available sources before your final draft.