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人気のある三角関数 >

sin(1/2 x)=0

解

sin (\frac{1}{2} x) = 0

解

x = 4 πn, x = 2 π + 4 πn

+1

度

x = 0^{\circ} + 72 0^{\circ} n, x = 36 0^{\circ} + 72 0^{\circ} n

解答ステップ

sin (\frac{1}{2} x) = 0

以下の一般解

sin (\frac{1}{2} x) = 0

sin (x)

2 πn

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} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{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} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

\frac{1}{2} x = 0 + 2 πn, \frac{1}{2} x = π + 2 πn

\frac{1}{2} x = 0 + 2 πn, \frac{1}{2} x = π + 2 πn

解く

\frac{1}{2} x = 0 + 2 πn : x = 4 πn

\frac{1}{2} x = 0 + 2 πn

0 + 2 πn = 2 πn

\frac{1}{2} x = 2 πn

以下で両辺を乗じる:

2

\frac{1}{2} x = 2 πn

以下で両辺を乗じる:

2

2 \cdot \frac{1}{2} x = 2 \cdot 2 πn

簡素化

x = 4 πn

x = 4 πn

解く

\frac{1}{2} x = π + 2 πn : x = 2 π + 4 πn

\frac{1}{2} x = π + 2 πn

以下で両辺を乗じる:

2

\frac{1}{2} x = π + 2 πn

以下で両辺を乗じる:

2

2 \cdot \frac{1}{2} x = 2 π + 2 \cdot 2 πn

簡素化

x = 2 π + 4 πn

x = 2 π + 4 πn

x = 4 πn, x = 2 π + 4 πn

グラフ

人気の例

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