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受欢迎的三角函数 >

csc(x/4)=sqrt(2)

解答

csc (\frac{x}{4}) = 2

解答

x = π + 8 πn, x = 3 π + 8 πn

+1

度数

x = 18 0^{\circ} + 144 0^{\circ} n, x = 54 0^{\circ} + 144 0^{\circ} n

求解步骤

csc (\frac{x}{4}) = 2

csc (\frac{x}{4}) = 2

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

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

解

\frac{x}{4} = \frac{π}{4} + 2 πn : x = π + 8 πn

\frac{x}{4} = \frac{π}{4} + 2 πn

在两边乘以

4

\frac{x}{4} = \frac{π}{4} + 2 πn

在两边乘以

4

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

化简

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

化简

\frac{4 x}{4} : x

\frac{4 x}{4}

数字相除:

\frac{4}{4} = 1

= x

化简

4 \cdot \frac{π}{4} + 4 \cdot 2 πn : π + 8 πn

4 \cdot \frac{π}{4} + 4 \cdot 2 πn

4 \cdot \frac{π}{4} = π

4 \cdot \frac{π}{4}

分式相乘:

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

= \frac{π 4}{4}

约分:

4

= π

4 \cdot 2 πn = 8 πn

4 \cdot 2 πn

数字相乘:

4 \cdot 2 = 8

= 8 πn

= π + 8 πn

x = π + 8 πn

x = π + 8 πn

x = π + 8 πn

解

\frac{x}{4} = \frac{3 π}{4} + 2 πn : x = 3 π + 8 πn

\frac{x}{4} = \frac{3 π}{4} + 2 πn

在两边乘以

4

\frac{x}{4} = \frac{3 π}{4} + 2 πn

在两边乘以

4

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

化简

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

化简

\frac{4 x}{4} : x

\frac{4 x}{4}

数字相除:

\frac{4}{4} = 1

= x

化简

4 \cdot \frac{3 π}{4} + 4 \cdot 2 πn : 3 π + 8 πn

4 \cdot \frac{3 π}{4} + 4 \cdot 2 πn

4 \cdot \frac{3 π}{4} = 3 π

4 \cdot \frac{3 π}{4}

分式相乘:

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

= \frac{3 π 4}{4}

约分:

4

= 3 π

4 \cdot 2 πn = 8 πn

4 \cdot 2 πn

数字相乘:

4 \cdot 2 = 8

= 8 πn

= 3 π + 8 πn

x = 3 π + 8 πn

x = 3 π + 8 πn

x = 3 π + 8 πn

x = π + 8 πn, x = 3 π + 8 πn

作图

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