Tricky question
#please help
winged shore
simple zodiac
potent wolfBOT
winged shore
@simple zodiac thanks do you know if there’s a YouTube channel on this particular topic because I’m still slightly confused
tranquil oasis
Tricky question
to do it extremely fast sec and cos have the same extremities of -1 and 1, so just sub them in and done
takes 5 secs
winged shore
I get what you mean through the methedology but I don’t get the theory behind it, like why is there a maximum value when x is as small as possible
tranquil oasis
well the "x is as small as possible" is the second part of the q
but for the first part you consider the range of the function y = cosx
it is a periodic wave that oscillates between -1 and 1
winged shore
So isn’t the answer just 1 and -1?
tranquil oasis
for the max and min of cosx yes
but you are asked for the max and min of that expression in the q
winged shore
Oh so I have to take a different approach when it is stretched or something?
tranquil oasis
which is just y = cosx but with some additional algebraic manipulations, thats all
winged shore
And for sec x, isn’t the range infinity because of asymptotes?
tranquil oasis
Oh so I have to take a different approach when it is stretched or something?
in a formal sense they have taken the reciprocal of y, dilated it vertically scale factor 2, vertically translated it 1 unit up and then taken the reciprocal again. This is all overkill though
tranquil oasis
And for sec x, isn’t the range infinity because of asymptotes?
you have to be careful though because secx is undefined when cosx = 0
i would try to avoid working with reciprocals in this way because they have unusual implications mathematically
winged shore
U got any YouTube recomendations or anywhere I can learn to master these questions?
tranquil oasis
well usually max and min value questions involve differentiation
winged shore
Ur year 12??
tranquil oasis
the best thing for this exact type of q would be to become familiar with how to graph different functions
winged shore
the best thing for this exact type of q would be to become familiar with how to ...
Ok
tranquil oasis
What’s ur best way of revising maths?
practice papers under timed conditions
winged shore
And if u struggle over a concept?
tranquil oasis
you treat it in stages. Encode new concepts through watching a video or some sample problems, attempt simple q's. move onto harder and harder ones and eventually attempt past paper questions relevant to that topic you just learned. Then as you develop more knowledge of content in your syllabus keep building up a google doc of some form or other resource with those past paper questions you previously did and keep consistently going through all of it to utilise active recall and ensure you dont forget what you initially learned. Eventually once you finish the syllabus you go into full exam condition papers
im not sure how hard your exams are
but where i am getting 60% is significantly higher than the equivalent of an A* so doing past papers with extremely hard questions is necessary
tranquil oasis
yea
winged shore
Oh nice where abouts from?
tranquil oasis
Australia
winged shore
Far away
tranquil oasis
yep
winged shore
Do you mind elaborating on what u mean by using google docs
Is it to just track ur progress?
tranquil oasis
nah i just mean a way to store past questions
i personally would just screenshot them and put them into a doc
ill try find an example
like this
winged shore
Ahhh tight brilliant idea
tranquil oasis
i basically organised a specific subset of questions called "inequality proofs" so i could target it individually since it was a weaker area of mine
tranquil oasis
all good man