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受欢迎的三角函数 >

csc(x-30)=2

解答

csc (x - 3 0^{\circ}) = 2

解答

x = 6 0^{\circ} + 36 0^{\circ} n, x = 36 0^{\circ} n + 18 0^{\circ}

+1

弧度

x = \frac{π}{3} + 2 πn, x = π + 2 πn

求解步骤

csc (x - 3 0^{\circ}) = 2

csc (x - 3 0^{\circ}) = 2

的通解

csc (x)

周期表（周期为

36 0^{\circ} n

）：

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} csc (x) Undefiend 22 \frac{2 3}{3} 1 \frac{2 3}{3} 22 x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} csc (x) Undefiend - 2 - 2 - \frac{2 3}{3} - 1 - \frac{2 3}{3} - 2 - 2

x - 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n, x - 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n

x - 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n, x - 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n

解

x - 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n : x = 6 0^{\circ} + 36 0^{\circ} n

x - 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n

将

3 0^{\circ}

到右边

x - 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n

两边加上

3 0^{\circ}

x - 3 0^{\circ} + 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n + 3 0^{\circ}

化简

x - 3 0^{\circ} + 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n + 3 0^{\circ}

化简

x - 3 0^{\circ} + 3 0^{\circ} : x

x - 3 0^{\circ} + 3 0^{\circ}

同类项相加:

- 3 0^{\circ} + 3 0^{\circ} = 0

= x

化简

3 0^{\circ} + 36 0^{\circ} n + 3 0^{\circ} : 6 0^{\circ} + 36 0^{\circ} n

3 0^{\circ} + 36 0^{\circ} n + 3 0^{\circ}

对同类项分组

= 3 0^{\circ} + 3 0^{\circ} + 36 0^{\circ} n

合并分式

3 0^{\circ} + 3 0^{\circ} : 6 0^{\circ}

使用法则

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

= \frac{18 0 ^{\circ} + 18 0 ^{\circ}}{6}

同类项相加:

18 0^{\circ} + 18 0^{\circ} = 36 0^{\circ}

= 6 0^{\circ}

约分:

2

= 6 0^{\circ}

= 6 0^{\circ} + 36 0^{\circ} n

x = 6 0^{\circ} + 36 0^{\circ} n

x = 6 0^{\circ} + 36 0^{\circ} n

x = 6 0^{\circ} + 36 0^{\circ} n

解

x - 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n : x = 36 0^{\circ} n + 18 0^{\circ}

x - 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n

将

3 0^{\circ}

到右边

x - 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n

两边加上

3 0^{\circ}

x - 3 0^{\circ} + 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n + 3 0^{\circ}

化简

x - 3 0^{\circ} + 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n + 3 0^{\circ}

化简

x - 3 0^{\circ} + 3 0^{\circ} : x

x - 3 0^{\circ} + 3 0^{\circ}

同类项相加:

- 3 0^{\circ} + 3 0^{\circ} = 0

= x

化简

15 0^{\circ} + 36 0^{\circ} n + 3 0^{\circ} : 36 0^{\circ} n + 18 0^{\circ}

15 0^{\circ} + 36 0^{\circ} n + 3 0^{\circ}

对同类项分组

= 36 0^{\circ} n + 3 0^{\circ} + 15 0^{\circ}

合并分式

3 0^{\circ} + 15 0^{\circ} : 18 0^{\circ}

使用法则

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

= \frac{18 0 ^{\circ} + 90 0 ^{\circ}}{6}

同类项相加:

18 0^{\circ} + 90 0^{\circ} = 108 0^{\circ}

= 18 0^{\circ}

数字相除:

\frac{6}{6} = 1

= 18 0^{\circ}

= 36 0^{\circ} n + 18 0^{\circ}

x = 36 0^{\circ} n + 18 0^{\circ}

x = 36 0^{\circ} n + 18 0^{\circ}

x = 36 0^{\circ} n + 18 0^{\circ}

x = 6 0^{\circ} + 36 0^{\circ} n, x = 36 0^{\circ} n + 18 0^{\circ}

作图

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