HSC Stuff > HSC Mathematics Extension 2

Can VCE'ers compete with HSC Maths?

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pi:

--- Quote from: cosine on June 27, 2015, 08:07:44 pm ---This thread is like a math nerd's dream, hence, I could not resist  ::)
Although I do VCE with 99.90pls, once again, I could not resist :P

--- End quote ---

Nice! Another way would be by using tan(A+B) twice and going via a trig route :)

brenden:

--- Quote from: cosine on June 27, 2015, 08:09:31 pm ---Is this thread only for 'prove' questions, or any mathematically challenging questions?

--- End quote ---
Any mathematically challenging questions!

TheAspiringDoc:
Find and prove the most space efficient way to pack cannonballs into a box/prism?

Stevensmay:

--- Quote from: TheAspiringDoc on June 27, 2015, 08:33:32 pm ---Find and prove the most space efficient way to pack cannonballs into a box/prism?

--- End quote ---

It's 74% but not easily provable, assuming you have a cube. https://en.wikipedia.org/wiki/Kepler_conjecture

idunn says Gauss proved it for a cube but I can't find the proof quickly.

Conic:

--- Quote from: cosine on June 27, 2015, 08:07:44 pm ---Arg(1+i) + Arg(1+2i) + Arg(1+3i) = 3.14159265359



--- End quote ---

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