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    how can i show that they are equally inclined? Is just saying that the magnitude of the gradients of SP and S'P are the same?
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    halo 2!!!!! in 7 months
    there takin the piss now!!
    ive had 40 quid stashed away since april for tht game,
    but any way i forgive them cos its gonna be the best GAME EVA!!!
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    (Original post by mathematician)
    halo 2!!!!! in 7 months
    there takin the piss now!!
    ive had 40 quid stashed away since april for tht game,
    but any way i forgive them cos its gonna be the best GAME EVA!!!
    ohh man,u have to c the new in game footage.There's a rocket launcher on the warthog(infinite ammo),u can pick up the elites plasma sword,u can play as the elite in multiplayer.Can't wait!
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    yer i know man, have u seen the new design of the warhogs?
    there aerodynamic.
    same here man i cant wait!!!
    in a way tho i am happy it wasnt in april cos i wudda failed my exams,
    not tht im doing many lol
    im on my gap year, LOL
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    (Original post by mathematician)
    yer i know man, have u seen the new design of the warhogs?
    there aerodynamic.
    same here man i cant wait!!!
    in a way tho i am happy it wasnt in april cos i wudda failed my exams,
    not tht im doing many lol
    im on my gap year, LOL
    yes the physics of the game is incredible,the warthog is now destructible.Oh yea,and the rocket launcher has homing capability.
    Lucky u,u'll be on ur gap year when it comes out eh? Unlucky me cos i'll be in uni.... (if i get my grades)
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    No, i mean im on my gap year now
    in october im off to uni
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    i have a few exams tho still this year, becos as i wanna do a maths degree they told me to do extension maths so i dont forget it
    so i gotta do aea paper in maths n physics
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    (Original post by mathematician)
    No, i mean im on my gap year now
    in october im off to uni
    oops,looks like u'll be in the same position as me then!
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    how comes your birthday is before mine?
    how comes your doing your alevels?
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    (Original post by mathematician)
    how comes your birthday is before mine?
    how comes your doing your alevels?
    i did my gcse's in college.
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    ok kool,
    wot did u take and how did u do in your AS
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    (Original post by IntegralAnomaly)
    how can i show that they are equally inclined? Is just saying that the magnitude of the gradients of SP and S'P are the same?
    The gradient of the tangent at the point (asect, btant) is b/(asint). The gradient of SP is btant/(asect - ae) and S'P is btant/(asect + ae). Using the formula for tan(A - B) you can find the size of the angles between SP and the tangent, and S'P and the tangent. Hopefully they should be the same
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    (Original post by It'sPhil...)
    The gradient of the tangent at the point (asect, btant) is b/(asint). The gradient of SP is btant/(asect - ae) and S'P is btant/(asect + ae). Using the formula for tan(A - B) you can find the size of the angles between SP and the tangent, and S'P and the tangent. Hopefully they should be the same
    but equally inclined implies that the angle the two lines will make with the x-axes are the same,so shouldn't i find that angle?
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    seems impossible
    referring to your diagram, if a = b, SP = S'P (isosceles triangle)
    for a hyperbola, SP <> S'P

    I think the question is asking prove that SP and S'P make the same angle with the tangent at P i.e. the tangent bisects angle SPS'
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    (Original post by keisiuho)
    seems impossible
    referring to your diagram, if a = b, SP = S'P (isosceles triangle)
    for a hyperbola, SP <> S'P

    I think the question is asking prove that SP and S'P make the same angle with the tangent at P i.e. the tangent bisects angle SPS'
    so how shall i do that then?
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    (Original post by IntegralAnomaly)
    but equally inclined implies that the angle the two lines will make with the x-axes are the same,so shouldn't i find that angle?
    Equally inclined to the tangent, not the x-axis. The method i gave should work but a more geometrical approach might be quicker
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    (Original post by It'sPhil...)
    Equally inclined to the tangent, not the x-axis. The method i gave should work but a more geometrical approach might be quicker
    any ideas of a geometrical approach?
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    (Original post by IntegralAnomaly)
    any ideas of a geometrical approach?
    I'm afraid not - I think th only way to do this is brute force of algebra, and even then im not sure that it will work
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    (Original post by It'sPhil...)
    I'm afraid not - I think th only way to do this is brute force of algebra, and even then im not sure that it will work
    man these coordinate system questions are 1 of the toughest on the edexcel maths syallabus.
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    By the way phil im completely lost on ur method of using tan(A-B).
 
 
 

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