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    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
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    (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.
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    (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.
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    (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\ \mathrm{acute} \Rightarrow \sin2A&gt;0 \Rightarrow 1+\sin2A=(\sin A+\cos A)^2&gt;1 \Rightarrow \sin A+\cos A&gt;1.

    Also C is acute, so A+B&gt;\dfrac{\pi}{2} \Rightarrow B&gt;\dfrac{\pi}{2}-A.

    Therefore
    \sin A+\sin B+\sin C=\sin A+\sin B+\sin(\pi-(A+B))

=\sin A+\sin B+\sin (A+B)&gt;\sin A+\sin(\dfrac{\pi}{2}-A)+\sin\dfrac{\pi}{2}

=\sin A+\cos A+1&gt;2\ \mathrm{as\ required.}

    EDIT: Nvm there's a mistake here, cbb to correct.
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    See you all in roughly a month and a half, it's been a great journey!
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    What do you think my chances are in getting into trinity with a 2,S?
    (offer 1,1)
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    (Original post by KingRS)
    What do you think my chances are in getting into trinity with a 2,S?
    (offer 1,1)
    Erm, I will be honest,maybe not very high since it is trinity,they will probably pool you but you will get accepted by another college regardless so I wouldn't worry.
    What marks are you looking at?


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    (Original post by physicsmaths)
    Erm, I will be honest,maybe not very high since it is trinity,they will probably pool you but you will get accepted by another college regardless so I wouldn't worry.
    What marks are you looking at?


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    70-75,90-95
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    (Original post by KingRS)
    70-75,90-95
    70-75 could be a 1.
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    (Original post by IrrationalRoot)
    70-75 could be a 1.
    Hopefully but my 70-75 is optimistic so I would be inclined to say I'm going to miss out by a few marks.

    If I get a HM at the IMO do you think it would be worth sending them an email to improve my chances or would they be inclined not to take that into account since it's very niche?
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    (Original post by KingRS)
    Hopefully but my 70-75 is optimistic so I would be inclined to say I'm going to miss out by a few marks.

    If I get a HM at the IMO do you think it would be worth sending them an email to improve my chances or would they be inclined not to take that into account since it's very niche?
    Are you in the British team? Or just been to the maths camp?


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    (Original post by cogito.)
    Are you in the British team? Or just been to the maths camp?


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    No I'm on a team from a different country
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    (Original post by KingRS)
    No I'm on a team from a different country
    It will be very helpful if you tell them, also mention the question you attempted and which year it was, since Trinity used to be the maths camp when they select people from top BMO candidates.
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    (Original post by KingRS)
    Hopefully but my 70-75 is optimistic so I would be inclined to say I'm going to miss out by a few marks.

    If I get a HM at the IMO do you think it would be worth sending them an email to improve my chances or would they be inclined not to take that into account since it's very niche?
    I don't think a HM would do much, a medal would though.


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    (Original post by physicsmaths)
    I don't think a HM would do much, a medal would though.


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    Haha well there's no chance of that happening, hopefully I'll get pooled to a decent college
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    (Original post by KingRS)
    Haha well there's no chance of that happening, hopefully I'll get pooled to a decent college
    I think if you get a high 2 and an S you are likely to be taken by Trinity, and virtually certain to be pooled if not.
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    (Original post by Leonard Dev)

    Enough for a 1 in both ¿😕
    yes
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    (Original post by KingRS)
    Haha well there's no chance of that happening, hopefully I'll get pooled to a decent college
    What country are you representing, if I may ask? If you got a HM i think it is worth emailing.
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    (Original post by JackSpinner1)
    Any help with this question?
    No, stop hijacking this thread for your questions. Post a new thread in the maths forum if you want help.
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    Anyone got grade boundary predictions for a 1 in step 2&3?
 
 
 
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