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    Ambiguos Cases (Trig)

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    Syntax_Error_Anees_3.1415

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    Ambiguos Cases (Trig)

    Post  Syntax_Error_Anees_3.1415 on Sun Feb 21, 2010 4:30 am

    Hi there all..
    Someone asked me on facebook for help with ambigous cases in 2.5

    So i think ill post my response here to in case anyone else *COUGH ROGER WU**COUGH maybe KEVIN* is having trouble with it
    __________________________________________________________________________
    I dont know if this makes sense, but if its an is an ambiguos case, line AC can touch line BC at 2 different points. But dont worry about that for now.

    ... See more

    B=28°
    /\
    / \
    /_ __\
    A C
    So what you do is.

    Check : Exercise 2.5 Question 2f)
    1. b÷sinB = a÷sinA

    2. 28÷sin28 = 56÷sinA

    3. (56 x sin28)÷ 28 = sinA

    and that gives
    Angle A = 69°52'

    Now im sure you already know how to do all that

    So if this case is an ambiguous case there can be 2 values for angle A - One value is 69°52 (acute value)'... and the other has to be
    180° - 69°52'
    180 - 69°52' = 110° 08'' (obtuse value)
    Angle A can be either 69°52' or 110° 08'

    But the you have to check if it is an ambiguos case or not..
    To do that we have to add up the two angles we already know...

    B + A
    First Case = 28° + 69°52' (acute value) = Less than 180°
    2nd Case (if ambiguous) = 28° + 110° 08' (obtuse value) = Less than 180°

    Since they both add to LESS than 180° .. the case is an ambiguos one and you can write down that A = 69°52' or 110° 08' ...(obviously if they = more than 180° , there is no room left for the remaining angle (C) and it cant be a triangle.


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    Jchan161

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    Re: Ambiguos Cases (Trig)

    Post  Jchan161 on Sun Feb 21, 2010 10:58 am

    ty anees it helped.

    Smile
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    Syntax_Error_Anees_3.1415

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    Re: Ambiguos Cases (Trig)

    Post  Syntax_Error_Anees_3.1415 on Mon Feb 22, 2010 10:33 am

    Coolies Razz
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    Roger

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    Re: Ambiguos Cases (Trig)

    Post  Roger on Tue Feb 23, 2010 8:30 am

    Thanks for lettign me copy anees
    well iu get it, but its easier if i copy..
    and sif you'd imply i needs alot of help
    you *******f*****h***le!
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    Shaun
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    Re: Ambiguos Cases (Trig)

    Post  Shaun on Sun May 23, 2010 2:44 pm

    Homework solved

    LOCKED

    -Roger sucks-


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