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受欢迎的三角函数 >

cos(x)=-5/(sqrt(34))

解答

cos (x) = - \frac{5}{34}

解答

x = 2.60117 \dots + 2 πn, x = - 2.60117 \dots + 2 πn

+1

弧度

x = 2.60117 \dots + 6.28318 \dots n, x = - 2.60117 \dots + 6.28318 \dots n

求解步骤

cos (x) = - \frac{5}{34}

化简

- \frac{5}{34} : - \frac{5 34}{34}

- \frac{5}{34}

乘以共轭根式

\frac{34}{34}

= - \frac{5 34}{34 34}

3434 = 34

3434

使用根式运算法则:

a a = a

3434 = 34

= 34

= - \frac{5 34}{34}

cos (x) = - \frac{5 34}{34}

使用反三角函数性质

cos (x) = - \frac{5 34}{34}

cos (x) = - \frac{5 34}{34}

的通解

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

x = arccos (- \frac{5 34}{34}) + 2 πn, x = - arccos (- \frac{5 34}{34}) + 2 πn

x = arccos (- \frac{5 34}{34}) + 2 πn, x = - arccos (- \frac{5 34}{34}) + 2 πn

以小数形式表示解

x = 2.60117 \dots + 2 πn, x = - 2.60117 \dots + 2 πn

作图

流行的例子

cos(x)=cos(x-c)

cos (x) = cos (x - c)

-2sqrt(2)cos(θ)=2

- 22 cos (θ) = 2

cos(θ)=(sqrt(6))/2

cos (θ) = \frac{6}{2}

5 sin (60 t) = 0

sin(2θ)=0.4905

sin (2 θ) = 0.4905