Proofs

[Matt The Rat]

Quite Easily Done

[Ahmad]

I suppose it is easily done, once it's over . For mathematicians problems take on one of two states, impossible or trivial. It's impossible when it hasn't been proved, and trivial afterwards, no matter how complex and how many hours shed in frustration.

[NE2000]

I find proofs very satisfying when they're done, and they're also good because when you're right you know you are right (ie. LHS = RHS so unless you made several leaps of logic after making a mistake you were probably right). Just as a question (I'm in Yr 11 Gen Adv.) how do you quickly identify which side to work on when proving trig expressions. Sometimes I start with the "more complicated" side but realise that you can't get to the other side unless you start multiplying it by different types of 1, which is tedious. Any quick method for working it out?

[Lycan]

I find proofs very satisfying when they're done, and they're also good because when you're right you know you are right (ie. LHS = RHS so unless you made several leaps of logic after making a mistake you were probably right). Just as a question (I'm in Yr 11 Gen Adv.) how do you quickly identify which side to work on when proving trig expressions. Sometimes I start with the "more complicated" side but realise that you can't get to the other side unless you start multiplying it by different types of 1, which is tedious. Any quick method for working it out?

The answer is probably yes, but I can't really tell you a 'set method', because it differs from question to question.

One technique that can be used is rather than working from one side until you equal the other, work from one side to a point, and then work from the other side to the same point.

[rowshan]

oh hey that is clever!