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I always re-draw Circle Geometry diagrams using my compass and ruler. It's so then any constructions I make can easily be seen by the marker, and any angle chases are easily followed.

There is no triangle bounded by those two lines, unless you mean the area bounded by those two lines and the x or y axis.

My school has messed up many exams and assignments. Don't worry about it if it happens. Like Carrotsticks said, the HSC is your time to shine and you are first anyway.

100, if I don't make any silly errors.

Hey, I didn't have any Trials, not in Year 12 yet. But I did my school's Trials anyway and managed to nearly get full marks, because I made a silly error. What about yourself?

The solution depends on what n is congruent to, when taken modulo 3. Suppose n is congruent to 0 modulo 3, then consider 1+w+w^2+w^3+w^4+w^5+w^6+w^7+w^8+...+w^n Since w is a root of unity, we have w^3=1 and thus trivially 1+w+w^2=0. So factorising the above expression, we acquire...

Unless you have every single Maths textbook in NSW within an arms reach :)

Hyperbolic tangent function. Domain: All real x. Range: Plus/minus 1.

Wait, what?

What Carrotsticks said.

Didn't read that part, sorry.

One could consider divergence to be convergence to infinity...

Quite clearly I don't fall into that category because the first thing I thought of was long division, and it doesn't even work! :p

Yeah just realised.

Answer The Bloody Question

yeah that's what I meant sorry. Clearly not my day today ^^

Partial fractions, don't know why that wasn't the first thing I thought of. Not quite sure why I said polynomial long division when quite clearly the exponent of the numerator > exponent of the denominator...

lol at the warning. To be honest, I don't think this paper truly reflects the abilities needed to get a State Rank because it requires methods outside the syllabus. Although some things in the HSC Examination are out of syllabus and not necessarily taught at schools or in textbooks, they are...

That makes a lot more sense thanks for clearing that up.