函数y=sin(2x+φ)(0

来源：学生作业帮助网编辑：作业帮时间：2024/04/27 14:28:22

函数y=sin(2x+φ)(0
函数y=sin(2x+φ)(0<=φ＜=π)是R上的偶函数,则φ的值是求详解.

函数y=sin(2x+φ)(0
函数y=sin(2x+φ)(0<=φ＜=π)是R上的偶函数,
即函数是余弦函数
所以
φ=π/2

y=sin(2x+φ)=cos(π/2-2x-φ)=cos(2x+φ-π/2)
由图像，知y=cos2x为偶函数，即φ-π/2=kπ，φ=kπ+π/2。
0<=φ＜=π，故φ=π/2。

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