In the video below, I have a problem. In it the angler is demonstrating how to pick off trout in a group so as to give yourself the best chance of not spooking every trout there when you tie into the first one (I like how it assumes the trout will obviously be wanting what you're offering). Well, you can try, but since you can't ever predict exactly where the trout will run, it's impossible.
However, when you're fighting a trout (or any fish), one thing you never should do is put the butt of the rod above the tip. You've heard that old saying to keep the rod tip UP when fighting a good fish. There's a lot of reasons for this, but mostly it's to keep water tension off your delicate leader, so as to have the line's full strength against the fish & so you can use the full strength of the rod if need be. It would be a very rare instance to put your tip in the water when fighting a fish.
Also, when you shift the rod from one side to another across your body to direct a fish, don't do it too quickly or forcefully. It should be a smooth motion, nice & gentle, because if you're going to lose a fish & have it escape your hook, that's probably when it will happen (that water tension thing again).
Just one more item, if I may: the video discusses how to fight the fish so as not to disturb the others, but in it the angler has no choice but to move - walk / wade from one location to another. That alone could put down all the other fish. That's why what he's attempting to do in this video is so hard, & he does a good job at it (other than the rod waving all over).
I was always taught that when you hook up with a fish, you are "playing" the fish, not fighting it.......can you see the difference using that term might have on your actions to bring the fish to hand or net? It's all in your approach which should almost always be as graceful & effortless as you can make it.