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Math Help - 2 Sin/ Cos Probelms

  1. #1
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    2 Sin/ Cos Probelms

    1. y=-9cosx+5

    Amplitude:?
    Period:?
    Phase Shift:?
    Range:?

    2.-15sin[5(x+(pi/3))]+3

    Amplitude:?
    Period:?
    Phase Shift:?
    Range:?

    Thanks


    My Answers are:

    1.
    Amplitude: 9
    Period: 2pi
    Phase Shift: 0
    Range: [-4,14]

    2.
    Amplitude:15
    Period: (2pi/5)
    Phase Shift: (-pi/3)
    Range: [-12,18]
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  2. #2
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    Quote Originally Posted by qbkr21 View Post
    1. y=-9cosx+5

    Amplitude:?
    Period:?
    Phase Shift:?
    Range:?
    Amplitutde is 9 even though the number in front is -9, you take absolute value.

    The period is \frac{2\pi}{|1|}=2\pi

    There is no phase shift.

    The minimum value occurs when, \cos x=1, thus, -9(1)+5=-4
    The maximum value occurs when \cos x=-1 thus, -9(-1)+5=14
    The range is,
    -4\leq y\leq 14

    Similar idea for each one.
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  3. #3
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    Re:

    Ok so my answer were correct?
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  4. #4
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    Quote Originally Posted by qbkr21 View Post
    Ok so my answer were correct?
    Everything's fine except for the phase shift in the second problem. What happened to the 5 in the function?

    -Dan
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