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Math Help - Trig question

  1. #1
    Kal
    Kal is offline
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    Jan 2008
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    Trig question

    Hey guys, I need some help with this question:

    The flight pattern of a certain bee can be represented by the function f(x) = cos^2x-sinx +4. The range of the graph that represents this flight pattern is a < y <b. The value of "b", correct to the nearest hundredth is _______?

    I have no idea what to do...
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  2. #2
    Senior Member
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    We need to find the maximum value of the function
    Since we have a sum of trigonometric functions and a constant, we know that the function is periodic and so don't have to consider endpoints: the stationary points of the function are all you need. Simply find them using the first derivative then substitute to find the maximum.
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