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The desert temperature,H,oscillates daily between 37°F at 5

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The desert temperature,H,oscillates daily between 37°F at 5 am and 77°F at 5 pm.Write a possible formula for H in terms of t,measured in hours from 5 am.
H=?
这道题是在三角函数的章节里的,应该跟sin或者cos有关
不可能是直线关系.
如果是直线关系,那么公式为(rand表随机波动):
T for AM.
H=3.3(T-5)+37±Rand;T>=5am;
T for PM
H=3.3(T+12)+37±Rand;T