化简:cosα+sinα+a²sin(α+π/4)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/02 04:50:42
![化简:cosα+sinα+a²sin(α+π/4)](/uploads/image/z/1075993-25-3.jpg?t=%E5%8C%96%E7%AE%80%EF%BC%9Acos%CE%B1%2Bsin%CE%B1%2Ba%26%23178%3Bsin%28%CE%B1%2B%CF%80%2F4%29)
化简:cosα+sinα+a²sin(α+π/4)
化简:cosα+sinα+a²sin(α+π/4)
化简:cosα+sinα+a²sin(α+π/4)
cosα+sinα+a²sin(α+π/4)
=cosα+sinα+a²(sinαcosαπ/4 +cosαsinπ/4)
=cosα+sinα+a²(sinα√2/2 +cosα√2/2)
=cosα+sinα+√2/2 a²(cosα+sinα)
=cosα+sinα(1+√2/2 a²)