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任意角三角函数的概念

> 已知函数f（x）=sin（ωx+φ）（ω＞0，0＜φ＜π）的一系列对应值如下表： x … - π 4 0 π 6 π 4 π 2 3 4 π … y … 0 1 1 2 0 -1 0 … （Ⅰ）求f（x）的解析式；（Ⅱ）若在△ABC中，AC=2，BC=3， f(A)=- 1 2 ，求△ABC的面积．

问题：

发布时间：2024-09-09

已知函数f（x）=sin（ωx+φ）（ω＞0，0＜φ＜π）的一系列对应值如下表：

x … -

π

4

0

π

6

π

4

π

2

3

4

π …

y … 0 1

1

2

0 -1 0 …

（Ⅰ）求f（x）的解析式；
（Ⅱ）若在△ABC中，AC=2，BC=3， f(A)=-

1

2

，求△ABC的面积．

参考答案：

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已知函数f（x）=sin（ωx+φ）（ω＞0，0＜φ＜π）的一系列对应值如下表： x … - π 4 0 π 6 π 4 π 2 3 4 π … y … 0 1 1 2 0 -1 0 … （Ⅰ）求f（x）的解析式； （Ⅱ）若在△ABC中，AC=2，BC=3， f(A)=- 1 2 ，求△ABC的面积．

可能感兴趣的题目：

已知函数f（x）=sin（ωx+φ）（ω＞0，0＜φ＜π）的一系列对应值如下表：

x … -

π

4

0

π

6

π

4

π

2

3

4

π …

y … 0 1

1

2

0 -1 0 …

（Ⅰ）求f（x）的解析式；
（Ⅱ）若在△ABC中，AC=2，BC=3， f(A)=-

1

2

，求△ABC的面积．