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cutiecomittee123

  • one year ago

what is the maximum value of y=-3+4cos(5pi/6(x+4))

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  1. jim_thompson5910
    • one year ago
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    cos(x) maxes out at 1. It's the largest it can get we can replace x with any complicated expression we want so cos(BLAH) also maxes out at 1 What does this mean? It means that if we want to max out y, we just replace `cos(5pi/6(x+4))` with the largest numeric value it can be, which is 1

  2. jim_thompson5910
    • one year ago
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    so `y=-3+4cos(5pi/6(x+4))` turns into `y=-3+4(1)` from here you just calculate `-3+4(1)`

  3. cutiecomittee123
    • one year ago
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    so -12

  4. cutiecomittee123
    • one year ago
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    I mean -1

  5. cutiecomittee123
    • one year ago
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    oh wait lol brain fart 1

  6. jim_thompson5910
    • one year ago
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    yes, in the end, the max is y = 1

  7. cutiecomittee123
    • one year ago
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    sweet thanks:)

  8. jim_thompson5910
    • one year ago
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    this graph confirms the answer. Notice how the peak of each mountain is at y = 1 https://www.desmos.com/calculator/lboel2wxy6

  9. cutiecomittee123
    • one year ago
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    I see it, good to know thanks for posting that because I am a visual learner and that helped my understanding

  10. jim_thompson5910
    • one year ago
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    glad it helps out

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