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人気のある三角関数 >

csc(x-30)=2

解

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

解

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

+1

ラジアン

x = \frac{π}{3} + 2 πn, x = π + 2 πn

解答ステップ

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

以下の一般解

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

csc (x)

36 0^{\circ} n

循環を含む周期性テーブル:

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

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

解く

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

3 0^{\circ}

を右側に移動します

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

両辺に

3 0^{\circ}

を足す

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

簡素化

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

簡素化

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

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

類似した元を足す:

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

= x

簡素化

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}

条件のようなグループ

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

分数を組み合わせる

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

規則を適用

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

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

類似した元を足す:

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

= 6 0^{\circ}

共通因数を約分する:

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

解く

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

3 0^{\circ}

を右側に移動します

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

両辺に

3 0^{\circ}

を足す

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

簡素化

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

簡素化

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

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

類似した元を足す:

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

= x

簡素化

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}

条件のようなグループ

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

分数を組み合わせる

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

規則を適用

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

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

類似した元を足す:

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

= 18 0^{\circ}

数を割る:

\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}

グラフ

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