SOLUTION: I have to do the following question: "At rest, the human heart beats once every second. At the strongest part of the beat, a person’s blood pressure peaks at 120mmHg. At the mos

Algebra ->  Trigonometry-basics -> SOLUTION: I have to do the following question: "At rest, the human heart beats once every second. At the strongest part of the beat, a person’s blood pressure peaks at 120mmHg. At the mos      Log On


   



Question 871163: I have to do the following question:
"At rest, the human heart beats once every second. At the strongest part of the
beat, a person’s blood pressure peaks at 120mmHg. At the most relaxed part
of the beat, a person’s blood pressure drops to 80mmHg. Supposing that t = 0
corresponds to the peak of the beat, write down a trigonometric function that
captures this behaviour. Sketch the blood pressure over two heart beats."
What I have used is a cosine function, because the graph begins at the max and it's easier to use a cosine function.
My formula is 100+20cos(t(2pi))
Amplitude: (120-80)/2 = 20
Period - 1 sec = 2pi / 1 = 2pi
Max = 120
Min = 80
Vertical shift (and midline) = Max - amp = 120-20 = 100
Can someone please tell me if I have done this correctly. I just need the correct formula to do the graph.
Thanks in advance,
Zerinadee

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, your equation is correct.
Sine or cosine, it doesn't matter, they are the same curve only phase shifted.
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graph%28300%2C300%2C-2%2C10%2C-10%2C140%2C100%2B20cos%282%2Api%2Ax%29%29