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ik someone who did SDEHS at a priv school so yeah nah

nsb inequality booklet bro it's epic spamming more inequalities allows you to familiarise yourself with the process behind solving each one too

dam u got ur whole hsc planned out fully nice

do you even take earth science how did you not know that dinosaurs out of anything aren't mentioned in your syllabus at all only good thing about earth science isn't even in earth science 💀 chem, phys >>>>>

your school is cooked 💀💀

yap yap yap you can't have the good without the bad dinosaur is mentioned: not at all in 2019 hsc not at all in hsc 2020 once in hsc 2021 not at all in hsc 2022 not at all in hsc 2023 in new syllabus HSC papers, the word "dinosaur" has been mentioned once bruh it is also not mentioned in...

maybe it wasn't useful for it you don't always need z=cis(2kπ/n) for roots of unity questions if the question mentioned roots of unity, it contains roots of unity bruv I used roots of unity for Q10 in the compilation however there may exist different approaches that do not use roots of unity

i'm defo getting 100 atar

bro what an nth root of unity is a complex number of the form z^n=1 these can be written in the form z=cis(2kπ/n) for some integer k some neat things about roots of unity sum of roots of unity = 0 {via sum of roots =-b/a} nth roots of unity can be expressed as 1, w, w^2,..., w^(n-1) where w...

just sub it in lol z^13 = w w^11 = z z = w^11 = z^(13*11) = z^143 hence z^142 = 1 z is some 142nd root of unity hence z = cos(2πm/142) + isin(2πm/142) for integer m Im(z) = sin(2πm/142) = sin(πm/71) = sin(πm/n) where n = 71

as long as there's no conics or crazy circle geometry it's prob fine for current syllabus

why would you do that bruv 1. ∫ 1/sqrt(x^2+1) dx probably isn't showing up in the HSC (maybe in trials) 2. you can just multiply by some asspull on the top or do an asspull trig sub x=tan(theta) dx = sec^2(theta) dtheta I = ∫ 1/sqrt(x^2+1) = ∫sec^2(theta)/sec(theta) dtheta = ∫ sec(theta)dtheta...

pure unadulterated copium

write it out and group it a bit LHS = (s0+s1+s2+...+sm)(t0+t1+t2+...+tn) = s0(t0+t1+t2+...+tn)+s1(t0+t1+t2+...+tn)+s2(t0+t1+t2+...+tn)+...+sm(t0+t1+t2+...+tn) = s0 sigma + s1 sigma + ...+ sm sigma = other sigma (sigma) =RHS qed same thought process for other case

if you wanna get a single term like x^4 it seems way faster to just find certain coefficients from (1+x)^3 and multiply by the other coefficients from (1+3x)^8 or smth

what the fuck is double sigma notation

why would I do it if my school already offers physics 💀 TAFE or SDEHS are just alternatives if you rly wanna do physics (or some other subject) and are unable to cuz of ur school

💀 you could still do it via SDEHS or smth if it hurts your ego that much

blud it'd be doing HSC Physics via TAFE WHILE IN HIGHSCHOOL STILL bruh

guilttrip the school?