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I was doing a question in the Cambridge 4u textbook and came across a question which used the standard form below: I have never came across this before and the textbook doesnt have the proof... I was wondering if anyone could prove it for me. Thanks!

Same as TC

I don't understand what this question means by using symmetry arguments. Edit: sorry, you are going to have to click the link because I don't know the code..

Yep I got it, thnks guys

how do you differentiate inverse cosecx

I also use DP's notes but I still have to make my own notes because my tutor requires me to hand in my own notes. But in return, I get the tutor's notes!

Normanhurst doesnt use acer tests

@Splicer Did you write notes when you were doing the HSC?

@Trebla Sorry for not making my question clear enough, the question asks me to sketch the inverse of g(x) = (x+2)/(x+1) which is g^-1 = (2-x)/(x-1). I thought that because the inverse function had a negative, I assumed the graph would have been in 2nd and 4th quadrant which is wrong...

Hi everyone, I was just doing inverse trigonometric fn exercises in the textbook, but decided not to skip the revision exercise(revisit of inverse fn's) included in it since I having touched it for a while. There is a question which requires me to sketch g^-1(x) = (2-x)/(x-1). How do I know...

Wow thanks I got it, and I think deterninistic forgot to put the +1 in denominator.

Integrate 2^logx. I tried making it base e then integrating but it doesnt work......

The Jacaranda explanation is not making sense to me: In the late nineteenth century, belief in the aether posed a difficult problem for the principle of relativity, because the aether was supposed to be stationary in space and light was supposed to have a fixed velocity relative to the...

I think the VCE one is different from the NSW HSC one but they are both published by Cambridge.

Yep, I just realised it after doing another question haha

how do i simplify e^lnx so that I can differentiate it?

Thanks for the input everyone! Normally I do every question from basic to development and by the time I get to extension I am exhausted. I've always been hesitant on skipping the foundation questions because I am self learning and afraid I might not understand the basics. But I think I'm going...

Does anyone do every single question? Or do most of you just skip some so you do them later?

Congratulations everyone! Its great to see everyone's results. All these amazing results inspire me to work hard so I can be just as good as you guys for my HSC next year!

Thanks for clearing it up for me! The Terry Lee textbook didn't mention anything about Q(a) =/= 0 but it was stated in the cambridge textbook but didnt explain why. Thanks!