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受欢迎的三角函数 >

cot(3θ)=sqrt(3)

解答

cot (3 θ) = 3

解答

θ = \frac{π}{18} + \frac{πn}{3}

+1

度数

θ = 1 0^{\circ} + 6 0^{\circ} n

求解步骤

cot (3 θ) = 3

cot (3 θ) = 3

的通解

cot (x)

周期表（周期为

πn

）：

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cot (x) \mp \infty 31 \frac{3}{3} 0 - \frac{3}{3} - 1 - 3

3 θ = \frac{π}{6} + πn

3 θ = \frac{π}{6} + πn

解

3 θ = \frac{π}{6} + πn : θ = \frac{π}{18} + \frac{πn}{3}

3 θ = \frac{π}{6} + πn

两边除以

3

3 θ = \frac{π}{6} + πn

两边除以

3

\frac{3 θ}{3} = \frac{\frac{π}{6}}{3} + \frac{πn}{3}

化简

\frac{3 θ}{3} = \frac{\frac{π}{6}}{3} + \frac{πn}{3}

化简

\frac{3 θ}{3} : θ

\frac{3 θ}{3}

数字相除:

\frac{3}{3} = 1

= θ

化简

\frac{\frac{π}{6}}{3} + \frac{πn}{3} : \frac{π}{18} + \frac{πn}{3}

\frac{\frac{π}{6}}{3} + \frac{πn}{3}

\frac{\frac{π}{6}}{3} = \frac{π}{18}

\frac{\frac{π}{6}}{3}

使用分式法则:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{π}{6 \cdot 3}

数字相乘:

6 \cdot 3 = 18

= \frac{π}{18}

= \frac{π}{18} + \frac{πn}{3}

θ = \frac{π}{18} + \frac{πn}{3}

θ = \frac{π}{18} + \frac{πn}{3}

θ = \frac{π}{18} + \frac{πn}{3}

θ = \frac{π}{18} + \frac{πn}{3}

作图

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