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That's not entirely correct ... Yes this is a red herring thus why I asked it.

How can a square root be negative?

If y=\sqrt{cos^2 2x}, then find the value of dy/dx when x=\frac{\pi}{4}.

By expressing in the form Rcos(2x+a) (where a is in radians), or otherwise: Find all solutions to: \sqrt2cos2x-\sqrt6sin2x=\sqrt2 for 0\le x \le2 \pi.

Well usually in the HSC they wouldn't that type of question. That expression that the person posted in order to be a smartass would most likely be e^{k/x} in an actual HSC exam. Also, I don't think he really needed help. He was just being a smartass, as I've stated.

Um, yes it is. Like what proofs? Like the dividing line has no area/thickness? That doesn't generally require a proof, it's more like a definition.

You obviously did get my point. My point was that you were being a pot calling the kettle black. If you were so perfect and so on, then you would've defined everything in your post, but you didn't so it shows something about you :)

If you really want to be that pedantic; you didn't quantify what 'k' is. ie, is 'k' a function of x, or a constant, or...?

Yeah but we know what the OP means... although yes, you should technically do it. But in all seriousness, the frenzal guy should focus more on getting his mathematics up to scratch, rather than worrying about crossing his t's and curving his l's etc... they're very minor points...

It's easy. Draw a triangle such that two right angled triangles are inscribed in it and then go from there using the sine rule etc. It's not that hard.

That would probably be in Physics, not Mathematics. And usually in Physics they don't examine such theoretical proofs. I believe the content is based primarily on substitution of numbers etc. Also, I believe that there is very little Conics in first year university maths. After that you don't...

I wouldn't say that MATH1131 or 1141 is equivalent to HSC Mathematics Ext 2. For instance, alot of the complex numbers material is glossed over. There is hardly any conics and volumes (by slices and cylindrical shells). It also misses the Mechanics component of Ext 2 Maths and so on. I don't...

Wow, look at him fire up. I certainly wouldn't want to be tutored by some person who is NOT ARROGANT AT ALL, like yourself. A very touche person indeed. Well obviously I didn't try the question. But you're supposed to be a tutor that has Extension 1 secured under their belt and not posting on...

:lol: Playing doctor with each other doesn't count... :D

I'm really starting to get concerned, since you're a maths tutor... and yes, there is only one such described circle...

My teacher wouldn't have. In the HSC they wouldn't. It depends on who your teacher is.

lol @ "ideal units"... it's almost like you're saying that "ideal students" exist...

which in the case of Ruse students is e^{i\pi} times.

It's best to leave constants until the end usually.

NSW ATAR estimate for 2010 is: e^{i \pi}