Chromecast may not work on the Tab S 10.1. (If it does - and the app is free, so try it - it's the best solution.) You can use an MHL adapter - but with Samsung you have to make sure it's for that particular tab - Samsung has a few different microUSB MHL setups, so an adapter that works on one Samsung device may not work on another one. (Thank you for understanding what "standard" means, Samsung - and ignoring it.)