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anonymous

  • one year ago

choose the graph of y = 4/3 cos 3/2x

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  1. anonymous
    • one year ago
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  2. DanJS
    • one year ago
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    First, what are the maximum and minimum values for cos(x)

  3. anonymous
    • one year ago
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    4/3 -4/3

  4. DanJS
    • one year ago
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    \[-1 \le \cos(x) \le 1\]

  5. DanJS
    • one year ago
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    the amplitude in this case, is A*cos(x) , 4/3

  6. DanJS
    • one year ago
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    The graph isnt shifted vertically, so the max and min are 4/3, -4/3 now just have to figure out the period.

  7. anonymous
    • one year ago
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    cosine has a period of 2pi/b

  8. anonymous
    • one year ago
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    so would it be 2pi/ (3/2) ?

  9. DanJS
    • one year ago
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    yes

  10. DanJS
    • one year ago
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    so 4/3 pi for the period...

  11. DanJS
    • one year ago
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    Graph: y = A*cos( B*x + C) + D make sliders for A, B, C, D, and play arouind with changing those values, and watch the graph

  12. DanJS
    • one year ago
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    https://www.desmos.com/calculator

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spraguer (Moderator)
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