Math HSC 2013 Question 16? (1 Viewer)

InteGrand

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InteGrand

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How would one even think of doing that? Maybe doing the "Prove that ...=..." in reverse?
Basically, you should try doing as much as possible to somehow come up with expressions involved in the RTP statement. In other words, work towards what you're trying to prove, and then everything should hopefully fall out. So they added those things together as they knew that'd get them one of the sides of the equality you need to prove, so they just needed the other side of their expression to match up with the other side of the expression in the RTP statement, which it indeed did, and so the proof was complete.
 

keepLooking

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Basically, you should try doing as much as possible to somehow come up with expressions involved in the RTP statement. In other words, work towards what you're trying to prove, and then everything should hopefully fall out. So they added those things together as they knew that'd get them one of the sides of the equality you need to prove, so they just needed the other side of their expression to match up with the other side of the expression in the RTP statement, which it indeed did, and so the proof was complete.
So I am guessing, generally there are no special 'shortcuts' to the Q16's with "complicated" RTPs?
 

InteGrand

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So I am guessing, generally there are no special 'shortcuts' to the Q16's with "complicated" RTPs?
In general, there's no fixed way to go about tricky proofs. Sometimes you just need to try a lot of things until something works. It's usually a good idea to get the expressions in the RTP statement involved, since you're trying to prove something about them.
 

keepLooking

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In general, there's no fixed way to go about tricky proofs. Sometimes you just need to try a lot of things until something works. It's usually a good idea to get the expressions in the RTP statement involved, since you're trying to prove something about them.
I'll keep that in mind for this afternoon. Hopefully there isn't anything too difficult.
 

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