The question said "Show that" - doesn't this mean we would basically have to perform the whole expansion in order to do the "showing"?If you expand by only keeping the imaginary part, then at least you essentially only have to write four terms for the expansion part.
The question said "Show that" - doesn't this mean we would basically have to perform the whole expansion in order to do the "showing"?
Honestly if we were just required to expand it wouldn't be that bad, but it is also necessary to express and in terms of , which require even more expansions...
Edit: just read your other reply, that would have been a nice time saver. I wish I thought of that.
yeah i thought that too..I think there's an error with the trig integration
it should be 2 root3 not 2/root3
he just didnt rationalise the denom?yeah i thought that too..
if you're talking about the t sub question, im pretty sure carrotstick's solution is correctnah the resulting integral should be root 3 tan inverse root 3???? not one on root 3 tan inverse root 3?
ohhhh okay yep no worries LOL i was remembering wrongif you're talking about the t sub question, im pretty sure carrotstick's solution is correct
possibly anywhere between 68 and 74 based off the large majority of people finding the exam very difficult but who knows there could be a lot of quiet kids that may have found it easylol
im also interested in what the cutoff would be
This is actually the best way of doing these. Regarding penalty, I actually cannot say for sure, but I am reasonably confident it will be okay. Amongst endless non-attempts, they see someone have a different solution. It will get given a lot of attention for sure, and hopefully those people know the maths behind it. I think it'll be accepted.Hey @Carrotsticks, because it was a 'find' question for Q16bii), I chucked one of these ones to find the ratio lmao
https://www.dropbox.com/s/thzsne7o0afhc0a/Solution to Q16b).png?dl=0
Surely they wouldn't penalise this?! The co-ordinate axes could quite easily be generalised via a linear transformation.
cheers bruv!This is actually the best way of doing these. Regarding penalty, I actually cannot say for sure, but I am reasonably confident it will be okay. Amongst endless non-attempts, they see someone have a different solution. It will get given a lot of attention for sure, and hopefully those people know the maths behind it. I think it'll be accepted.
@other people reading this, in general any system that's been tilted you can 'untilt' and work the ratio from here. For more reading look up "Affine Transformation". Heaps of past HSC questions on things like this.