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    liang11's Avatar
    liang11 Posts: 4, Reputation: 1
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    #1

    Jul 24, 2009, 11:28 PM
    trigonometric equations
    Prove (Sin5A - Sin4A)/(Cos4A + Cos5A) = Tan A/2
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
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    #2

    Jul 25, 2009, 01:33 AM

    Convert all the '5A' and '4A' into simple angles, then half angles.





    liang11's Avatar
    liang11 Posts: 4, Reputation: 1
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    #3

    Jul 25, 2009, 09:23 PM
    Quote Originally Posted by unknown008 View Post
    convert all the '5a' and '4a' into simple angles, then half angles.





    i still don't understand... do u have the solutions?
    tej pratap sing's Avatar
    tej pratap sing Posts: 11, Reputation: -2
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    #4

    Jul 26, 2009, 12:43 AM
    Quote Originally Posted by liang11 View Post
    i still don't understand...do u have the solutions?
    cos(A+B)=cosAcosB-sinAsinB
    tej pratap sing's Avatar
    tej pratap sing Posts: 11, Reputation: -2
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    #5

    Jul 26, 2009, 11:53 AM

    sinC-sinD=2cosC+D/2 . SinC-D/2
    cosC+cosD=2cosC+D/2 . CosC-D/2
    apply this formula in question i.e
    sin5A-sin4A 2cos9A/2 .sinA/2 sinA/2
    -------------- = --------------------- = --------- = tanA/2
    cos4A+cos5A 2cos9A/2 . CosA/2 cosA/2

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