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💥 Here are the solutions and marks for the 2023 Mathematics Extension 1 BoS trials! Similar to Mathematics Extension 2, please note that the question paper has been updated (which the solutions are aligned to) with some minor adjustments to a few questions (e.g. split into parts, fixed the...

I think it is unwise to assume there is such thing as an absolute truth. These should always be seen as a piece of evidence based on what we know today to support a theory. New information may come about that supports another theory and this is simply the scientific process in action (think...

Well for starters, you have to consume media/news from somewhere? Or would you prefer to live in a bubble where everyone is sunshine, lollypops and rainbows? Or worse, consume media that is only appealing to your existing beliefs/biases (e.g. from social media) and not something more balanced...

Almost ready to go. Is there any particular question(s), you want an answer for right now?

Definitely. Check the syllabus under Polynomials, there is a dot point that explicitly mentions quartics. As to why it’s not on the formula sheet, who knows… there are a lot important formulas missing in that sheet that should be on there (not to mention some of the ones already on there are...

I think you have a different interpretation of “original” to mine. Like, with your interpretation I could argue the reduction formula Q15a)ii) was “original” because that technique isn’t a standard thing you find in that context and it makes you think. But I doubt many people would call that...

lol look up any question (trial, textbook, internet) related to equilateral triangles and complex numbers and you’ll find similar questions. It’s a pretty well known result. (PS: some version even appeared in past BoS trials). I don’t think we should expect “originality” when it comes to Maths...

When you handle the double angle with a substitution your limits would change from 0 to pi. However, note that integrating a sine function (and subsequently it’s powers) from 0 to pi is the same as twice that from 0 to pi/2 by symmetry (see the graph). You can show this algebraically but that’s...

That’s probably because ‘cis’ is not a standard or commonly used notation in mathematics. It is rarely seen outside the HSC. Everyone else just uses the exponential form (note that “exp( )” is standard notation) or the full mod-arg form. I don’t think I’ve ever seen ‘cis’ used in uni maths.

Tbh, I don’t see the point of using the short-hand ‘cis’ when the exponential form is just as convenient (and technically shorter)

If anyone asks: https://boredofstudies.org/threads/bos-trials-maths-physics-and-business-studies-2023.405080/

Guys please keep the debate about the ideas, not the person. Personal attacks are not acceptable.

......and here are the results and solutions for the 2023 Mathematics Extension 2 BoS Trials! 🔥 🔥🔥 Please also note that the question paper has been updated (which these solutions are aligned to) with some minor adjustments to a few questions (e.g. edited some wordings and mark allocations)...

lol result is known before WA polls closed

Get excited! :jump: Solutions and marks for the Ext2 paper will be released in a few hours...

It can be shown that \tan\theta = \dfrac{1-e^{2i\theta}}{i(-1-e^{2i\theta})} Let \theta=\dfrac{k\pi}{2n+1} so the LHS is...

Have you tried doing some high intensity exercise like running around?

Both -pi/3 and 5pi/3 are correct. Just because the sample answer uses -pi/3 doesn't necessarily mean it's the only answer...

In terms of marking and official solutions, please note that we are aiming to get those out a few days before the respective HSC exam for that subject (so naturally Maths is being prioritised at the moment). Please be patient as this will take time to get through and write up. However, that...

Thanks to everyone who attended the Physics and Business Studies exams today! :) I hope everyone found the entire BoS trial exam experience to be valuable for their HSC studies. ....and now here is the moment you've all been waiting for (please note there may be some minor edits relative to...