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Math Help - sine graph

  1. #1
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    sine graph

    10 The temperature TC at a town in central Australia at time t hours after 8 am can be modelled by . T(t) = 15 sin [(pit)\12] + 20
    a What is the minimum temperature in C, and at what time of day does it occur?
    i do not know how to work out the time of the day. why is the minimum temperature is 5 rather than -5?
    Last edited by ThePerfectHacker; March 23rd 2006 at 07:08 AM.
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  2. #2
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    Quote Originally Posted by rachael
    10 The temperature TC at a town in central Australia at time t hours after 8 am can be modelled by . T(t) = 15 sin [(pit)\12] + 20
    a What is the minimum temperature in C, and at what time of day does it occur?
    i do not know how to work out the time of the day. why is the minimum temperature is 5 rather than -5?
    The minimum that,
    T(t)=15\sin\left(\frac{\pi t}{12}\right)+20

    gets, is when \sin\left(\frac{\pi t}{12}\right) is minimum. As you know the sine is minimum at -1. Thus, 15(-1)+20=5 is the minimum value.
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