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Math Help - Showing(2)

  1. #1
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    Showing(2)




    I have solved for part (a) and part (b), including showing OA, problem lies in showing OM... would appreciate some help for showing OM= 2cos\theta+5sin\theta
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Punch View Post



    I have solved for part (a) and part (b), including showing OA, problem lies in showing OM... would appreciate some help for showing OM= 2cos\theta+5sin\theta
    Using triangle OMA, we have \sin \theta = \frac {OM}{OA}. The result follows easily from there.

    also, how did you find OA? seems like you did a lot of work judging from the faint lines i see on the diagram.
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  3. #3
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    Thanks!!!



    For OA, its far more simple! Draw a line perpendicular to the x-axis from the point (5,2). Let point on perpendicular line on x-axis be X.
    So
    OX=5.

    tan\theta= \frac{2}{XA}

    cot\theta=\frac{XA}{2}

    XA=2cot\theta

    OA = 5+2cot\theta
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Punch View Post
    Thanks!!!
    For OA, its far more simple! Draw a line perpendicular to the x-axis from the point (5,2). Let point on perpendicular line on x-axis be X.
    So
    OX=5.

    tan\theta= \frac{2}{XA}

    cot\theta=\frac{XA}{2}

    XA=2cot\theta

    OA = 5+2cot\theta
    ok. i just observed that AX = OA - 5 and jumped to \cot \theta  = \frac {OA - 5}2 right off the bat. not much different from you. good job
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