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受欢迎的三角函数 >

cos(12x)=0

解答

cos (12 x) = 0

解答

x = \frac{π}{24} + \frac{πn}{6}, x = \frac{π}{8} + \frac{πn}{6}

+1

度数

x = 7. 5^{\circ} + 3 0^{\circ} n, x = 22. 5^{\circ} + 3 0^{\circ} n

求解步骤

cos (12 x) = 0

cos (12 x) = 0

的通解

cos (x)

周期表（周期为

2 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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

12 x = \frac{π}{2} + 2 πn, 12 x = \frac{3 π}{2} + 2 πn

12 x = \frac{π}{2} + 2 πn, 12 x = \frac{3 π}{2} + 2 πn

解

12 x = \frac{π}{2} + 2 πn : x = \frac{π}{24} + \frac{πn}{6}

12 x = \frac{π}{2} + 2 πn

两边除以

12

12 x = \frac{π}{2} + 2 πn

两边除以

12

\frac{12 x}{12} = \frac{\frac{π}{2}}{12} + \frac{2 πn}{12}

化简

\frac{12 x}{12} = \frac{\frac{π}{2}}{12} + \frac{2 πn}{12}

化简

\frac{12 x}{12} : x

\frac{12 x}{12}

数字相除:

\frac{12}{12} = 1

= x

化简

\frac{\frac{π}{2}}{12} + \frac{2 πn}{12} : \frac{π}{24} + \frac{πn}{6}

\frac{\frac{π}{2}}{12} + \frac{2 πn}{12}

\frac{\frac{π}{2}}{12} = \frac{π}{24}

\frac{\frac{π}{2}}{12}

使用分式法则:

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

= \frac{π}{2 \cdot 12}

数字相乘:

2 \cdot 12 = 24

= \frac{π}{24}

\frac{2 πn}{12} = \frac{πn}{6}

\frac{2 πn}{12}

约分:

2

= \frac{πn}{6}

= \frac{π}{24} + \frac{πn}{6}

x = \frac{π}{24} + \frac{πn}{6}

x = \frac{π}{24} + \frac{πn}{6}

x = \frac{π}{24} + \frac{πn}{6}

解

12 x = \frac{3 π}{2} + 2 πn : x = \frac{π}{8} + \frac{πn}{6}

12 x = \frac{3 π}{2} + 2 πn

两边除以

12

12 x = \frac{3 π}{2} + 2 πn

两边除以

12

\frac{12 x}{12} = \frac{\frac{3 π}{2}}{12} + \frac{2 πn}{12}

化简

\frac{12 x}{12} = \frac{\frac{3 π}{2}}{12} + \frac{2 πn}{12}

化简

\frac{12 x}{12} : x

\frac{12 x}{12}

数字相除:

\frac{12}{12} = 1

= x

化简

\frac{\frac{3 π}{2}}{12} + \frac{2 πn}{12} : \frac{π}{8} + \frac{πn}{6}

\frac{\frac{3 π}{2}}{12} + \frac{2 πn}{12}

\frac{\frac{3 π}{2}}{12} = \frac{π}{8}

\frac{\frac{3 π}{2}}{12}

使用分式法则:

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

= \frac{3 π}{2 \cdot 12}

数字相乘:

2 \cdot 12 = 24

= \frac{3 π}{24}

约分:

3

= \frac{π}{8}

\frac{2 πn}{12} = \frac{πn}{6}

\frac{2 πn}{12}

约分:

2

= \frac{πn}{6}

= \frac{π}{8} + \frac{πn}{6}

x = \frac{π}{8} + \frac{πn}{6}

x = \frac{π}{8} + \frac{πn}{6}

x = \frac{π}{8} + \frac{πn}{6}

x = \frac{π}{24} + \frac{πn}{6}, x = \frac{π}{8} + \frac{πn}{6}

作图

流行的例子

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