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Math Help - Re-arranging Trig equation

  1. #1
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    Re-arranging Trig equation

    Hi,

    Doing a tension in cable problem, Trying to find T, ended up with this, can this be arranged to find that? If so, an explanation would be very helpful

    0.25(T*sin21) + 4.88(T*cos21) = 50510.8

    Thanks
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  2. #2
    MHF Contributor ebaines's Avatar
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    Re: Re-arranging Trig equation

    You have:

     0.25T \sin \theta + 4.88 T \cos \theta = 50510.8

    where \theta = 21 degrees. This is the same as:

     T(0.25 \sin \theta + 4.88 \cos \theta) = 50510.8

    Rearrange to get:

    T= \frac {50510.8}{0.25 \sin \theta + 4.88 \cos \theta}
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  3. #3
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    Re: Re-arranging Trig equation

    Seems so simple when written like that. i was expecting something more complicated.

    Thanks very much
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