The method for taking down Titans is different from Arkham Asylum: all you need to do is perform an Ultra Stun (a three-hit combo with the Stun button) then do a Beat Down. The second waves is a fight against a Titan. You can easily get a high-40's, low-50's combo if you rely on Critical Strikes and Counter when you need to. The first wave isn't particularly difficult, but it's long, and if you don't keep an eye out you can easily miss some counter opportunities. (For some reason, this section got cut out of the video, but I will do my best to get an improved version of this room up quickly). Once you've done so, continue walking forward into the arena-like room to trigger a cutscene.

Get out your Remote Controlled Batarang and you can guide the projectile to hit the switch on the other side. Walk forward and Batman will point out a high, barbed-wire fence with a small gap at the top. Once all three enemies are down, talk to the undercover police officer that Penguin's goons were harassing when you walked in, then proceed into the next room. The starting method I used in the video is quite effective: quickfire the REC on the body-armoured thug and one of the other regular thugs, then go to town on the third. Alternatively, if you're not concerned about racking up experience points, the body-armoured thugs are also vulnerable to all of your special combos, once you get your combo multiplier high enough. For this particular fight, it's fastest to take out all three enemies with Beat Downs: isolate one enemy, stun him then Beat Down, and if another enemy tries to sneak up on you, counter him. Also keep in mind that your combo will break if you try to hit them with a regular attack, so pay attention to where you're aiming that analog stick. With these guys, it's best to leave them for last since you can beat them down without interference.

You'll be introduced to a new enemy type: a body-armoured thug who can only be harmed by a Beat Down (Stun once, then rapidly mash the Attack button).

Don't worry about that dinosaur, it's mechanical. Whip out the Cryptographic Sequencer and hack it properly. Now that you've successfully disabled all the disruptors, go back to the security console you couldn't hack before.

Arkham city advanced get into museum