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受欢迎的三角函数 >

csc(pi/(24)x)=1

解答

csc (\frac{π}{24} x) = 1

解答

x = 12 + 48 n

+1

度数

x = 687.54935 \dots^{\circ} + 2750.19741 \dots^{\circ} n

求解步骤

csc (\frac{π}{24} x) = 1

csc (\frac{π}{24} x) = 1

的通解

csc (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} csc (x) Undefiend 22 \frac{2 3}{3} 1 \frac{2 3}{3} 22 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} csc (x) Undefiend - 2 - 2 - \frac{2 3}{3} - 1 - \frac{2 3}{3} - 2 - 2

\frac{π}{24} x = \frac{π}{2} + 2 πn

\frac{π}{24} x = \frac{π}{2} + 2 πn

解

\frac{π}{24} x = \frac{π}{2} + 2 πn : x = 12 + 48 n

\frac{π}{24} x = \frac{π}{2} + 2 πn

在两边乘以

24

\frac{π}{24} x = \frac{π}{2} + 2 πn

在两边乘以

24

24 \cdot \frac{π}{24} x = 24 \cdot \frac{π}{2} + 24 \cdot 2 πn

化简

24 \cdot \frac{π}{24} x = 24 \cdot \frac{π}{2} + 24 \cdot 2 πn

化简

24 \cdot \frac{π}{24} x : π x

24 \cdot \frac{π}{24} x

分式相乘:

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

= \frac{24 π}{24} x

约分:

24

= x π

化简

24 \cdot \frac{π}{2} + 24 \cdot 2 πn : 12 π + 48 πn

24 \cdot \frac{π}{2} + 24 \cdot 2 πn

24 \cdot \frac{π}{2} = 12 π

24 \cdot \frac{π}{2}

分式相乘:

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

= \frac{π 24}{2}

数字相除:

\frac{24}{2} = 12

= 12 π

24 \cdot 2 πn = 48 πn

24 \cdot 2 πn

数字相乘:

24 \cdot 2 = 48

= 48 πn

= 12 π + 48 πn

π x = 12 π + 48 πn

π x = 12 π + 48 πn

π x = 12 π + 48 πn

两边除以

π

π x = 12 π + 48 πn

两边除以

π

\frac{π x}{π} = \frac{12 π}{π} + \frac{48 πn}{π}

化简

\frac{π x}{π} = \frac{12 π}{π} + \frac{48 πn}{π}

化简

\frac{π x}{π} : x

\frac{π x}{π}

约分:

π

= x

化简

\frac{12 π}{π} + \frac{48 πn}{π} : 12 + 48 n

\frac{12 π}{π} + \frac{48 πn}{π}

消掉

\frac{12 π}{π} : 12

\frac{12 π}{π}

约分:

π

= 12

= 12 + \frac{48 πn}{π}

消掉

\frac{48 πn}{π} : 48 n

\frac{48 πn}{π}

约分:

π

= 48 n

= 12 + 48 n

x = 12 + 48 n

x = 12 + 48 n

x = 12 + 48 n

x = 12 + 48 n

作图

流行的例子

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sin^{2} (x) + sin^{2} (x) = cos^{2} (x)

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