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Trigonometric Functions (id: b9dec7abb)

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admin 发表于 2024-7-12 23:45:57 | 显示全部楼层 |阅读模式
本题目来源于试卷: Trigonometric Functions,类别为 IB数学

[问答题]
A function, f , is d7rry *q3 5jro,o ap s.cx0rzc.efined bdl4vhj+ 3d wsy5wzg83 y $f(x)=6.2 \sin \left(\frac{\pi}{9}(x-7.5)\right)+c $, for $0 \leq x \leq 15$ , where $c \in \mathbb{R}$ .
1. Find the period of f .

The function f has a minimum at $\mathrm{A}(3,11.8)$ and a maximum at $\mathrm{B}(12,24.2)$ .
2. 1. Find the value of c .
2. Hence find the value of f(9) .

A second function, g , is defined by $g(x)=a \sin \left(\frac{2 \pi}{15}(x+2.25)\right)+b $, for $0 \leq x \leq 15$ , where a, b$ \in \mathbb{R}$ .
The function g passes through the points $ \mathrm{P}(1.5,14.5)$ and $ \mathrm{Q}(14,10.2)$ .
3. Find the value of a and the value of b .
4. Find the value of x for which the functions have the greatest difference.




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