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Math Help - Solving Linear Trig Equations

  1. #1
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    Solving Linear Trig Equations

    I have many questions with this as i am genuinely confused.

    First, how should a question like this be answered.

    The domain is 0 to 360 degrees. the question is

    3 sin x=sin x + 1

    Second,

    The average monthly temperature of Littletown can be modelled by the function T(t)=14.6sin 0.5(t-1) + 9.15 where T is the temperature in degrees celsius and t=0 represents January, t=1 represents February 1, and so on.

    a, In which month is the average temperature the highest? the lowest?

    b, Use the model to predict when the temperature is 0 degrees celsius

    c, When is the temperature 20 degrees celsius.

    For this one can you show me what i need to do to get the proper table of values?


    Thanks alot.
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by FORK View Post
    I have many questions with this as i am genuinely confused.

    First, how should a question like this be answered.

    The domain is 0 to 360 degrees. the question is

    3 sin x=sin x + 1

    Second,

    The average monthly temperature of Littletown can be modelled by the function T(t)=14.6sin 0.5(t-1) + 9.15 where T is the temperature in degrees celsius and t=0 represents January, t=1 represents February 1, and so on.

    a, In which month is the average temperature the highest? the lowest?

    b, Use the model to predict when the temperature is 0 degrees celsius

    c, When is the temperature 20 degrees celsius.

    For this one can you show me what i need to do to get the proper table of values?

    Thanks alot.
    Should this be 3\sin^2(x)=\sin(x)+1?
    if not 3\sin(x)=\sin(x)+1\Rightarrow{2\sin(x)=1}

    then x=arcsin\bigg(\frac{1}{2}\bigg)=\frac{\pi}{6}\

    and what other angle gives 1/2?
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  3. #3
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    Quote Originally Posted by Mathstud28 View Post
    Should this be 3\sin^2(x)=\sin(x)+1?
    if not 3\sin(x)=\sin(x)+1\Rightarrow{2\sin(x)=1}

    then x=arcsin\bigg(\frac{1}{2}\bigg)=\frac{\pi}{6}\

    and what other angle gives 1/2?
    Its this one. 3\sin(x)=\sin(x)+1\Rightarrow{2\sin(x)=1}

    And it gives me 0.034 when i do it but my book says 0.52?
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