# Science:Math Exam Resources/Courses/MATH102/December 2016/Question A 04

MATH102 December 2016
Other MATH102 Exams

### Question A 04

The body temperature ${\displaystyle T(t)}$ of an individual over a day is a rhythmic process. It reaches a maximum of 37.6 (degree Celsius) at 6:00 am and a minimum of 36.8 (degree Celsius) at 6:00 pm. Choose the trigonometric function that best describes ${\displaystyle T(t)}$, where ${\displaystyle t}$ is given in hours with ${\displaystyle t=0}$ taken at midnight (one minute after 11:59 pm).

(i) ${\displaystyle T(t)=37.2-0.4\cos \left({\frac {2\pi t}{12}}\right)}$

(ii) ${\displaystyle T(t)=37.2+0.4\cos \left({\frac {2\pi t}{12}}\right)}$

(iii) ${\displaystyle T(t)=37.2+0.4\sin \left({\frac {2\pi t}{12}}\right)}$

(iv) ${\displaystyle T(t)=37.2+0.4\sin \left({\frac {2\pi t}{24}}\right)}$

(v) ${\displaystyle T(t)=37.2-0.4\cos \left({\frac {2\pi t}{24}}\right)}$

(vi) ${\displaystyle T(t)=37.2+0.4\cos \left({\frac {2\pi t}{24}}\right)}$

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