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The human body temperature normally fluctuates during the day. If a person's body temperature can be predicted by the formula [tex]T = 99.1 - 0.5\sin(x + \frac{\pi}{12})[/tex], where [tex]x[/tex] is the number of hours since midnight and [tex]T[/tex] is in degrees Fahrenheit, what is the person's temperature at 6:00 A.M.?

Answer :

Final answer:

To find the person's temperature at 6:00 A.M., substitute the number of hours since midnight, which is 6, into the given formula. The person's temperature at 6:00 A.M. is approximately 99.244 degrees Fahrenheit.

Explanation:

To find the person's temperature at 6:00 A.M., we need to substitute the number of hours since midnight, which is 6, into the given formula.

So, T = 99.1 - 0.5sin(x+π/12)

T = 99.1 - 0.5sin(6+π/12)

T = 99.1 - 0.5sin(6.262)

Using a calculator to evaluate sin(6.262), we get -0.287

T = 99.1 - 0.5(-0.287)

T = 99.1 + 0.144

T = 99.244 degrees Fahrenheit

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