三角函数小题~谢啦!http://hi.baidu.com/%BA%AF%CA%FD%C8%FD%BD%C7%CE%D2%B5%C4%C4%E3/album/item/e53c3a12a52511f3f7039e9c.html题见这里,谢谢了!要有简单过程哦!
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/28 15:54:24
![三角函数小题~谢啦!http://hi.baidu.com/%BA%AF%CA%FD%C8%FD%BD%C7%CE%D2%B5%C4%C4%E3/album/item/e53c3a12a52511f3f7039e9c.html题见这里,谢谢了!要有简单过程哦!](/uploads/image/z/8784723-3-3.jpg?t=%E4%B8%89%E8%A7%92%E5%87%BD%E6%95%B0%E5%B0%8F%E9%A2%98%7E%E8%B0%A2%E5%95%A6%21http%3A%2F%2Fhi.baidu.com%2F%25BA%25AF%25CA%25FD%25C8%25FD%25BD%25C7%25CE%25D2%25B5%25C4%25C4%25E3%2Falbum%2Fitem%2Fe53c3a12a52511f3f7039e9c.html%E9%A2%98%E8%A7%81%E8%BF%99%E9%87%8C%2C%E8%B0%A2%E8%B0%A2%E4%BA%86%21%E8%A6%81%E6%9C%89%E7%AE%80%E5%8D%95%E8%BF%87%E7%A8%8B%E5%93%A6%21)
三角函数小题~谢啦!http://hi.baidu.com/%BA%AF%CA%FD%C8%FD%BD%C7%CE%D2%B5%C4%C4%E3/album/item/e53c3a12a52511f3f7039e9c.html题见这里,谢谢了!要有简单过程哦!
三角函数小题~谢啦!
http://hi.baidu.com/%BA%AF%CA%FD%C8%FD%BD%C7%CE%D2%B5%C4%C4%E3/album/item/e53c3a12a52511f3f7039e9c.html
题见这里,谢谢了!要有简单过程哦!
三角函数小题~谢啦!http://hi.baidu.com/%BA%AF%CA%FD%C8%FD%BD%C7%CE%D2%B5%C4%C4%E3/album/item/e53c3a12a52511f3f7039e9c.html题见这里,谢谢了!要有简单过程哦!
(1)
由于:
f(x)
=cos(3x/2)cos(x/2)-sin(3x/2)sin(x/2)
+2根号3*sinxcosx
=[cos(3x/2)cos(x/2)-sin(3x/2)sin(x/2)]
+根号3*(2sinxcosx)
=cos[(3x/2)+(x/2)]+根号3*sin2x
=cos2x+根号3sin2x
=2sin(2x+pi/6)
则:
f(pi/12)
=2sin(2pi/12+pi/6)
=2sin(pi/3)
=根号3
(2)
由于sin(2x+pi/6)属于[-1,1]
则:当sin(2x+pi/6)=1时,
f(x)取最大值=2
此时:
2X+pi/6=pi/2+2kpi
则:{X|X=pi/6+kpi,k属于Z}
f(x)最大值为2