cutiecomittee123
  • cutiecomittee123
what is the maximum value of y=-3+4cos(5pi/6(x+4))
Mathematics
schrodinger
  • schrodinger
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jim_thompson5910
  • jim_thompson5910
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
jim_thompson5910
  • jim_thompson5910
so `y=-3+4cos(5pi/6(x+4))` turns into `y=-3+4(1)` from here you just calculate `-3+4(1)`
cutiecomittee123
  • cutiecomittee123
so -12

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cutiecomittee123
  • cutiecomittee123
I mean -1
cutiecomittee123
  • cutiecomittee123
oh wait lol brain fart 1
jim_thompson5910
  • jim_thompson5910
yes, in the end, the max is y = 1
cutiecomittee123
  • cutiecomittee123
sweet thanks:)
jim_thompson5910
  • jim_thompson5910
this graph confirms the answer. Notice how the peak of each mountain is at y = 1 https://www.desmos.com/calculator/lboel2wxy6
cutiecomittee123
  • cutiecomittee123
I see it, good to know thanks for posting that because I am a visual learner and that helped my understanding
jim_thompson5910
  • jim_thompson5910
glad it helps out

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