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STEP Prep Thread 2016 (Mark. II)

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Original post by Mathemagicien
The Cambridge maths department is too busy to mark the STEP papers, as they are frantically trying to help the Bank of England sort out all the economic fallout from the Brexit. Results day is therefore postponed indefinitely :smile:


God damn Remainers..

Jk, ready for part IA lad? Starting V&M today after (of course) watching GoT.


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Original post by Mathemagicien
I've still got an exam tomorrow (D2 :puke: ), but I can't wait to start on some of IA

Lol I haven't ever watched a single episode of GoT :redface:

Have all your favourite characters died yet?


I want to say that I am gonna wait for you to start part IA but it would be a lie. Every man for himself.

You haven't seen any of GoT? You're a joke m8.

Lol, Dany is never gonna die! You should start watching GoT, it is really god damn good. Through sheer will power I actually managed not to watch any GoT Season 6 during exam period. Watching the first episode right after I come back home though. :biggrin:


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Anyone got a good reading list for summer in prep for part IA?
Original post by liamm691
Anyone got a good reading list for summer in prep for part IA?


check the Asom thread
Original post by Duke Glacia
check the Asom thread


Cant find it, can i have a link please
Original post by liamm691
Cant find it, can i have a link please


Maths exams section


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Original post by krishdesai7
At the stroke of the midnight hour, when the world sleeps, mathmos will awake to life and freedom.


But more with tears and screams


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When are we meant to register for results?
Original post by 16Characters....
When are we meant to register for results?


Read the first post on this thread. I think 5 days

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5 days before register


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Zacin cracking.
Its his birthday today. Hes turning 13. Nearly as old as insight.


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Original post by physicsmaths
Zacin cracking.
Its his birthday today. Hes turning 13. Nearly as old as insight.


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Looool


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Original post by physicsmaths
Zacin cracking.
Its his birthday today. Hes turning 13. Nearly as old as insight.


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Lol.

So we register for results in 5 days? Wasn't there some kind of bug with registering very early?


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Original post by Insight314
Lol.

So we register for results in 5 days? Wasn't there some kind of bug with registering very early?


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Within 5 days of the day of results...
1467290511725-384919342.jpg
Can anyone help with this problem?
Would love to do some maths over the summer but guarentee I never need any of it, should really do some comp sci prep tbh
Original post by ComputerMaths97
Would love to do some maths over the summer but guarentee I never need any of it, should really do some comp sci prep tbh


We still have Discrete Mathematics, which looks pretty similar to Numbers and Sets in the Maths course.
Original post by Mathemagicien
sin x > x/(pi/2) for 0<x<pi/2 (easy to justify with a graph)

Result follows



Thanks. I dont know what i was thinking, trying to overcomplicate a straight forward problem.
Original post by JackSpinner1
Thanks. I dont know what i was thinking, trying to overcomplicate a straight forward problem.


A slightly more intuitive approach:

A acute⇒sin⁡2A>0⇒1+sin⁡2A=(sin⁡A+cos⁡A)2>1⇒sin⁡A+cos⁡A>1A\ \mathrm{acute} \Rightarrow \sin2A>0 \Rightarrow 1+\sin2A=(\sin A+\cos A)^2>1 \Rightarrow \sin A+\cos A>1.

Also CC is acute, so A+B>π2⇒B>π2−AA+B>\dfrac{\pi}{2} \Rightarrow B>\dfrac{\pi}{2}-A.

Therefore
sin⁡A+sin⁡B+sin⁡C=sin⁡A+sin⁡B+sin⁡(π−(A+B))[br]=sin⁡A+sin⁡B+sin⁡(A+B)>sin⁡A+sin⁡(π2−A)+sin⁡π2[br]=sin⁡A+cos⁡A+1>2 as required.\sin A+\sin B+\sin C=\sin A+\sin B+\sin(\pi-(A+B))[br]=\sin A+\sin B+\sin (A+B)>\sin A+\sin(\dfrac{\pi}{2}-A)+\sin\dfrac{\pi}{2}[br]=\sin A+\cos A+1>2\ \mathrm{as\ required.}

EDIT: Nvm there's a mistake here, cbb to correct.
(edited 7 years ago)
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Zacken
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See you all in roughly a month and a half, it's been a great journey!

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