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Math Help - Transformations of Trigonometric Graphs

  1. #1
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    Mar 2010
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    Transformations of Trigonometric Graphs

    Hi, all help is much appreciated.

    for this question, I've been trying to figure it out.

    h = -10 cos (πt/15) + 11

    where

    h = height (m)
    t = time in seconds

    if t = 10

    i know one way is to plot the graph and find the point but my graph isn't accurate enough and i don't have the proper calculator.

    how do i find h.

    Thanks.
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  2. #2
    Member mathemagister's Avatar
    Joined
    Feb 2010
    Posts
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    Quote Originally Posted by shimmerblade View Post
    Hi, all help is much appreciated.

    for this question, I've been trying to figure it out.

    h = -10 cos (πt/15) + 11

    where

    h = height (m)
    t = time in seconds

    if t = 10

    i know one way is to plot the graph and find the point but my graph isn't accurate enough and i don't have the proper calculator.

    how do i find h.

    Thanks.
    Substitute 10 for t in the function:

     h = -10 \cos{\frac{\pi (10)}{15}} + 11

     h = -10 \cos{\frac{2\pi}{3}} + 11

    You can calculate \cos{\frac{2\pi}{3}} using the unit circle (or simply with a calculator). You should get -0.5 as the answer.

    h = -10(-0.5) + 11 = 16

    So the answer is 16.

    Hope that helped
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  3. #3
    Newbie
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    Mar 2010
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    Thanks heaps mathemagister!
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