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Math Help - Finding a simple Trig Function with the following properties

  1. #1
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    Finding a simple Trig Function with the following properties

    A periodic function oscillates between the values and . It has a minimum at and the immediately following maximum at Find a simple trig function with these properties

    y(t) = ?

    What percent of the time is this function greater than 10?


    I have no clue what i am doing here. im assuming i find critical points after i find the function but i dont really know how to go about this.
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  2. #2
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    Re: Finding a simple Trig Function with the following properties

    Hey fourhire.

    Hint: Think about the function f(t) = a + b*cos(ct) for constants a, b, and c.
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  3. #3
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    Re: Finding a simple Trig Function with the following properties

    wait im confused i though tthis was the equation : A+B*cos(w*(t-phi)). also im still little confused on where to begin with the following numbers.
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  4. #4
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    Re: Finding a simple Trig Function with the following properties

    Hint: For a minimum, when does the cosine have a minimum (look at a standard cos graph to see it or use calculus to find the minimum)?

    Hint: Do the same thing but for a maximum (when does the cosine function have a maximum)?
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