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受欢迎的三角函数 >

cos^2(x)=-0.267

解答

cos^{2} (x) = - 0.267

解答

x \in R 无解

求解步骤

cos^{2} (x) = - 0.267

用替代法求解

cos^{2} (x) = - 0.267

令

: cos (x) = u

u^{2} = - 0.267

u^{2} = - 0.267 : u = 0.267 i, u = - 0.267 i

u^{2} = - 0.267

对于

x^{2} = f (a)

解为

x = f (a), - f (a)

u = - 0.267, u = - - 0.267

化简

- 0.267 : 0.267 i

- 0.267

使用根式运算法则:

- a = - 1 a

- 0.267 = - 1 0.267

= - 1 0.267

使用虚数运算法则:

- 1 = i

= 0.267 i

化简

- - 0.267 : - 0.267 i

- - 0.267

化简

- 0.267 : 0.267 i

- 0.267

使用根式运算法则:

- a = - 1 a

- 0.267 = - 1 0.267

= - 1 0.267

使用虚数运算法则:

- 1 = i

= 0.267 i

= - 0.267 i

u = 0.267 i, u = - 0.267 i

u = cos (x)

代回

cos (x) = 0.267 i, cos (x) = - 0.267 i

cos (x) = 0.267 i, cos (x) = - 0.267 i

cos (x) = 0.267 i :

无解

cos (x) = 0.267 i

无解

cos (x) = - 0.267 i :

无解

cos (x) = - 0.267 i

无解

合并所有解

x \in R 无解

作图

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