Dog-Training

After having spent, I don't know, 4 hours trying to determine the constants A, B and C for which (5cosX+9sinX)^2=Acos2X+Bsin2X+C I had lunch. By then I was looking for something else to do but couldn't come up with anything. Then I realized that I would be doing everyone (I mean it, every single person on this planet) a huge favour if I could dicipline our dog a little. But seriously, how long can you go on with Sit! Stay! Lie down! Come! and Search! without geting bored? (About five and a half minute, since he already knows them fairly well, and our house is only so big) He obviously needed a new trick in the repertoire. So I spent an other 10 minutes practicing Stand! Ok, so it's completely useless, so what? It's cool. This dude has hind legs with the movability of an acrobat so he's pretty good at it. Sometimes when we're out walking and he wants to take a look around but the grass is to high for him to see anything he will stand up, balancing on his two hind legs, looking around for a few seconds and then fall back to all four. He looks a bit like an over-sized meerkat...