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Math Help - solving sine function

  1. #1
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    solving sine function

    Hi there,

    Can anyone help me solve this equation

    Find a,b and c in the following sine function:

    y=a sin(bx+c)

    so that:

    • the maximum value of y is 6 when x = o, y = 6
    • the period of the graph is equal to pi
    • a,b and c are positive and c is less than 2 pi

    thanks
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  2. #2
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    Quote Originally Posted by masiboy View Post
    Hi there,

    Can anyone help me solve this equation

    Find a,b and c in the following sine function:

    y=a sin(bx+c)

    so that:

    • the maximum value of y is 6 when x = o, y = 6
    • the period of the graph is equal to pi
    • a,b and c are positive and c is less than 2 pi
    thanks
    Your general form suggests no vertical translation so I would say if 6 was a maximum then it also must be your amplitude.

    As the period is \pi then having a maximum at zero for sine suggests a horizontal translation of \frac{\pi}{4}

    I would guess the equation you are looking for is

    y=6sin(2(x-\frac{\pi}{4}))

    or

    y=6sin(2x-\frac{\pi}{2})
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  3. #3
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    thanks for ur help..much appreciated
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