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Math Help - Graphing cosine function

  1. #1
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    Post Graphing cosine function

    Help determining intervals, etc. for -

    y=100cos(3/4θ + π/4)

    (amplitude 100, period 3π/2, phase shift -π/4)

    Thanks for any help!
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  2. #2
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    Quote Originally Posted by live_laugh_luv27 View Post
    Help determining intervals, etc. for -

    y=100cos(3/4θ + π/4)

    (amplitude 100, period 3π/2, phase shift -π/4)

    Thanks for any help!
    First you have to get rid of the number in front of theta. To do this divide by 3/4. After you do this you should get

    y=100Cos3/4(θ+4π/12) You can reduce 4π/12 to π/3

    so now amp=100; period= 2π/(3/4) = 8π/3; and phase shift = -π/3

    Because you're using Cos, start off at the max amp then move down with each period.

    You will have (100, -π/3), (0, 7π/3), (-100, 15π/3 (which is reduced to: 5π)), and so on.

    If you were confused about any steps please ask.
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