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RTP: x^2+y^2+z^2+2xyz=1 given that: arccos(x) + arccos(y) + arccos(z) =pi I have gotten expressions for xyz from taking the cosine and sine of the given statement (bottom one), i keep getting a bunch of sqrt(1-x^2) and such for each variable and I cant seem to rearrange to get the top expression.

Is King's property assumed knowledge or are they more likely to tell you to derive it before using?

Anyone know where I would be able to get exemplar responses (doesn't have to be exemplar but a good mark) on trial comprehension sections, I'm mainly looking for responses on 2019 and 2020 trials from top 20 schools.

I have had a recent debate on which of these degrees I should pursue in uni. I initially wanted to do actuarial as I thought it was a high level math field that meant I could specialise into either finance/consulting, but i recently I have researched into these specialisations and people have...

what marks would you need in each of the modules in english to get a 90 hsc examination mark? raw marks info ranges from 79-82 raw, this is what my prediction for each module is, let me know if it is drastically different or have heard otherwise: Paper 1: comphrehension-15-16/20 common...

Is it possible for HSC to ask very specific questions. e.g. For mod B, for Eliot's poems, can they ask you to do both a specific poem AND a specific theme. Or do they normally only require one of the listed. e.g. only a specific poem but open to any theme/discussion. Btw im only asking this in...

Would anyone know how many students get 95+ in chem and phys each year?

Dont get how (i) relates to (ii), but i think u might need to use kings rule for (ii).

^

anyone know where to find good q's for 2nd order recursion proofs, Cambridge only has a handful of basic ones, not sure where to find anymore. Also i dont want to look through past papers as i would like to keep them for trial period. thanks.

over the course of my senior and junior years of high school I have heard many teacher say that scaling doesn’t exist or doesn’t matter when choosing courses. Why would a teacher (presumably intentionally) say that scaling doesn’t exist when they are putting students at a disadvantage and what...

Where can I find hard roots of unity questions, i have done all the textbook ones and i'm looking for harder exam style questions.

do i need to know this for the new syllabus for vectors/complex numbers.

Is it advised going straight to 10 units at the start of year 12, I’m sure of what I want to do but I don’t know if it is advisable. to people who did 10 units of 4u math, phys, chem and advanced English, is it worth dropping to these subjects if I’m sure that is what I want to do for my hsc and...

So I was thinking of picking up science extension in year 12 as I like the Sciences that I am doing. Does science extension run like math extension where it is purely extension concepts or is it a different style/topic altogether.

^ and if yes when should you start studying?