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Thread: Deivatives of Trigonometric Functions. Help Please!

  1. #1
    Mar 2010

    Deivatives of Trigonometric Functions. Help Please!

    Any help would be appreciated please, I am really struggling with this concept.

    A thin rigid pole is to be carried horizontally around a corner joining two corridors of width 1m and 0.8m, respectively. Find the length of the longest pole that can be transported in this manner.

    Thanks very much in advance
    Attached Thumbnails Attached Thumbnails Deivatives of Trigonometric Functions. Help Please!-derivatives-trigonometric-functions.jpg  
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  2. #2
    MHF Contributor
    Mar 2010
    You first calculate the length of the pole as a function of $\displaystyle \theta$. Now you need to find the minimum of that function. The construction guarantees that you have the largest possible pole, but it needs to fit for all $\displaystyle \theta$ in order to be carried around the corner.

    To find the minimum, you set the derivative to zero, of course. And I assume you can take derivatives and manipulate trig functions.

    If you run into any more trouble, post again in this thread and I'll answer as soon as I can.

    - Hollywood
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