When you are logged into SSC, in the top right click on Help
or if you have low resolution:
In the Help menu click on "API Documentation"
This will drop you off at a page that has some examples, tips, and tricks.
In the top right is a link to the full API reference:
And if you want to see working examples using the API, the HTML5 interface for SSC uses it, so go into Developer Tools or hook up Fiddler or some other proxy application to watch the traffic.
Hope this helps.