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受欢迎的三角函数 >

cot(4x)=-(sqrt(3))/3

解答

cot (4 x) = - \frac{3}{3}

解答

x = \frac{π}{6} + \frac{πn}{4}

+1

度数

x = 3 0^{\circ} + 4 5^{\circ} n

求解步骤

cot (4 x) = - \frac{3}{3}

cot (4 x) = - \frac{3}{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

4 x = \frac{2 π}{3} + πn

4 x = \frac{2 π}{3} + πn

解

4 x = \frac{2 π}{3} + πn : x = \frac{π}{6} + \frac{πn}{4}

4 x = \frac{2 π}{3} + πn

两边除以

4

4 x = \frac{2 π}{3} + πn

两边除以

4

\frac{4 x}{4} = \frac{\frac{2 π}{3}}{4} + \frac{πn}{4}

化简

\frac{4 x}{4} = \frac{\frac{2 π}{3}}{4} + \frac{πn}{4}

化简

\frac{4 x}{4} : x

\frac{4 x}{4}

数字相除:

\frac{4}{4} = 1

= x

化简

\frac{\frac{2 π}{3}}{4} + \frac{πn}{4} : \frac{π}{6} + \frac{πn}{4}

\frac{\frac{2 π}{3}}{4} + \frac{πn}{4}

\frac{\frac{2 π}{3}}{4} = \frac{π}{6}

\frac{\frac{2 π}{3}}{4}

使用分式法则:

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

= \frac{2 π}{3 \cdot 4}

数字相乘:

3 \cdot 4 = 12

= \frac{2 π}{12}

约分:

2

= \frac{π}{6}

= \frac{π}{6} + \frac{πn}{4}

x = \frac{π}{6} + \frac{πn}{4}

x = \frac{π}{6} + \frac{πn}{4}

x = \frac{π}{6} + \frac{πn}{4}

x = \frac{π}{6} + \frac{πn}{4}

作图

流行的例子

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sin (x) = \frac{3.9}{8.1}

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1 + cos (θ) = 1 - cos (θ)

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