函数f(X)=2C0SX/2(根号3C0SX/2一Sinx/2)的最大值
答案:2 悬赏:50 手机版
解决时间 2021-02-16 06:26
- 提问者网友:謫仙
- 2021-02-15 13:37
函数f(X)=2C0SX/2(根号3C0SX/2一Sinx/2)的最大值
最佳答案
- 五星知识达人网友:逐風
- 2021-02-15 13:51
f(X)=2C0S[X/2](根号3C0S[X/2]一Sin[x/2])
=2根号3C0S^[X/2]一2C0S[X/2]Sin[x/2]
=根号3(cosx+1)-sinx
=根号3+根号3cosx-sinx
=根号3+2(根号3/2cosx-1/2sinx)
=根号3+2sin(x+2派/3)
<=2+根号3
=2根号3C0S^[X/2]一2C0S[X/2]Sin[x/2]
=根号3(cosx+1)-sinx
=根号3+根号3cosx-sinx
=根号3+2(根号3/2cosx-1/2sinx)
=根号3+2sin(x+2派/3)
<=2+根号3
全部回答
- 1楼网友:深街酒徒
- 2021-02-15 15:05
f(X)=2C0S[X/2](根号3C0S[X/2]一Sin[x/2])
=2根号3C0S^[X/2]一2C0S[X/2]Sin[x/2]
=根号3(cosx+1)-sinx
=根号3+根号3cosx-sinx
=根号3+2(根号3/2cosx-1/2sinx)
=根号3+2sin(x+2派/3)
<=2+根号3
=2根号3C0S^[X/2]一2C0S[X/2]Sin[x/2]
=根号3(cosx+1)-sinx
=根号3+根号3cosx-sinx
=根号3+2(根号3/2cosx-1/2sinx)
=根号3+2sin(x+2派/3)
<=2+根号3
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