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受欢迎的三角函数 >

cos(θ)=-(11)/(sqrt(170))

解答

cos (θ) = - \frac{11}{170}

解答

θ = 2.57486 \dots + 2 πn, θ = - 2.57486 \dots + 2 πn

+1

弧度

θ = 2.57486 \dots + 6.28318 \dots n, θ = - 2.57486 \dots + 6.28318 \dots n

求解步骤

cos (θ) = - \frac{11}{170}

化简

- \frac{11}{170} : - \frac{11 170}{170}

- \frac{11}{170}

乘以共轭根式

\frac{170}{170}

= - \frac{11 170}{170 170}

170170 = 170

170170

使用根式运算法则:

a a = a

170170 = 170

= 170

= - \frac{11 170}{170}

cos (θ) = - \frac{11 170}{170}

使用反三角函数性质

cos (θ) = - \frac{11 170}{170}

cos (θ) = - \frac{11 170}{170}

的通解

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

θ = arccos (- \frac{11 170}{170}) + 2 πn, θ = - arccos (- \frac{11 170}{170}) + 2 πn

θ = arccos (- \frac{11 170}{170}) + 2 πn, θ = - arccos (- \frac{11 170}{170}) + 2 πn

以小数形式表示解

θ = 2.57486 \dots + 2 πn, θ = - 2.57486 \dots + 2 πn

作图

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