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What would be HSC Physics's relationship to Chemistry then?

It'd still be better to provide no help than to deliberately mislead them, right? Because if you deliberately give your friends false info to make them mess up in the exam, they might lose their trust in you, which is bad.

Why not? :haha:

Why did you intentionally mislead your friends? Like, wouldn't they have a grudge against you if they found out what you told them was false?

Re: HSC 2016 3U Marathon They're referring to the zeroes of the original function. These are -1 and 2.

You mean 3θ, right? If so, that explains their method used. Yeah, it's probably faster in fact.

They assumed the results for sin(3θ) and cos(3θ) in terms of sin(θ) and cos(θ). Were these earlier parts of the Q.? They aren't formulas you're expected to memorise, but you should be able to derive them. It's probably easier to do this Q. by just expanding tan(2θ + θ) though. And to save...

What is the weird thing they started with?

That is the answer in terms of tan(θ). They probably just typo'ed the Q. and meant in terms of tan(θ).

Well it is already in terms of θ.

You mean in terms of tan(θ), right? $\noindent To do this, apply the compound angle formula for tan to $\tan \left(2\theta + \theta\right)$, and use double angle formula after that to get the $\tan 2\theta$'s in terms of $\tan \theta$.$

I think there was this chat thread (maybe the 2014 Prelim one) that had 500+ pages.

What happened there?

That sin(x)/x one can be shown to be 0 via the squeeze theorem.

The resulting limit obtained from the L'Hospital step needs to exist (the limit being infinity counting as 'exists' for these purposes). If it doesn't, then the rule doesn't work. In this case, the resulting limit doesn't exist, because it is limit as x -> oo of (1 + cos(x))/(1 - cos(x)), and...

Re: HSC 2016 4U Marathon For interest's sake, it can be shown to diverge because the summand is on the order of 1/k as k -> oo, and the harmonic series diverges.

Re: HSC 2016 4U Marathon k^2. The one with k doesn't converge.

Re: HSC 2016 3U Marathon I'm assuming that your numerator for the five-seater table was essentially attempting to count the no. of ways to arrange people onto those seats (ignoring rotational symmetry, since that's in the denominator) such that at least one of the people is a woman. Am I...

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread We can even just let them equal 1 instead of x (as seen, the x's just cancel. By arbitrariness of units, we can just let them be 1).

Re: HSC 2016 3U Marathon Yeah, they're equivalent methods. The reason those people did divisions by 5 etc. instead was that they found the ways of getting people for the table from the entire group of people first, and this generally in nPr form, rather than a factorial form, so they divided...