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Math Help - Periodic Function

  1. #1
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    Periodic Function

    The picture shows a portion of the graph of the periodic function
    f(x) = sin(1 + sinx). Find the x-coordinates of the turning points P, Q, and R. Round the answers to three decimal places. Hint: The x-coordinate of Q is halfway between the x-coordinates of P and R.
    Attached Thumbnails Attached Thumbnails Periodic Function-cam00236.jpg  
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  2. #2
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    Re: Periodic Function

    these are all local minima or maxima so set the derivative equal to zero an solve for x. You'll get a few solutions and you should be able to eyeball the correct ones.
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    Re: Periodic Function

    Quote Originally Posted by nycmath View Post
    The picture shows a portion of the graph of the periodic function
    f(x) = sin(1 + sinx). Find the x-coordinates of the turning points P, Q, and R. Round the answers to three decimal places. Hint: The x-coordinate of Q is halfway between the x-coordinates of P and R.
    Look at this graph.
    plot sin(1+sin(x)), -2 to 6 - Wolfram|Alpha
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    Re: Periodic Function

    Thank you everyone.
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    Re: Periodic Function

    Hi,
    I hope the attached drawing helps. In particular, 2 of the critical points (turning points) are symmetrically located about $\pi/2$.

    Periodic Function-mhf30.png
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    Re: Periodic Function

    Thank you, johng.
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