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人気のある三角関数 >

sin(2x)sin(x)=0,0<= x<= 360

解

sin (2 x) sin (x) = 0, 0^{\circ} \leq x \leq 36 0^{\circ}

解

x = 0, x = 9 0^{\circ}, x = 18 0^{\circ}, x = 27 0^{\circ}, x = 36 0^{\circ}

+1

ラジアン

x = 0, x = \frac{π}{2}, x = π, x = \frac{3 π}{2}, x = 2 π

解答ステップ

sin (2 x) sin (x) = 0, 0^{\circ} \leq x \leq 36 0^{\circ}

各部分を別個に解く

sin (2 x) = 0 or sin (x) = 0

sin (2 x) = 0, 0 \leq x \leq 36 0^{\circ} : x = 0, x = 9 0^{\circ}, x = 18 0^{\circ}, x = 27 0^{\circ}, x = 36 0^{\circ}

sin (2 x) = 0, 0 \leq x \leq 36 0^{\circ}

以下の一般解

sin (2 x) = 0

sin (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} 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}

2 x = 0 + 36 0^{\circ} n, 2 x = 18 0^{\circ} + 36 0^{\circ} n

2 x = 0 + 36 0^{\circ} n, 2 x = 18 0^{\circ} + 36 0^{\circ} n

解く

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

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

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

2 x = 36 0^{\circ} n

以下で両辺を割る

2

2 x = 36 0^{\circ} n

以下で両辺を割る

2

\frac{2 x}{2} = \frac{36 0 ^{\circ} n}{2}

簡素化

x = 18 0^{\circ} n

x = 18 0^{\circ} n

解く

2 x = 18 0^{\circ} + 36 0^{\circ} n : x = 9 0^{\circ} + 18 0^{\circ} n

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

以下で両辺を割る

2

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

以下で両辺を割る

2

\frac{2 x}{2} = 9 0^{\circ} + \frac{36 0 ^{\circ} n}{2}

簡素化

x = 9 0^{\circ} + 18 0^{\circ} n

x = 9 0^{\circ} + 18 0^{\circ} n

x = 18 0^{\circ} n, x = 9 0^{\circ} + 18 0^{\circ} n

範囲の解答

0 \leq x \leq 36 0^{\circ}

x = 0, x = 9 0^{\circ}, x = 18 0^{\circ}, x = 27 0^{\circ}, x = 36 0^{\circ}

sin (x) = 0, 0 \leq x \leq 36 0^{\circ} : x = 0, x = 18 0^{\circ}, x = 36 0^{\circ}

sin (x) = 0, 0 \leq x \leq 36 0^{\circ}

以下の一般解

sin (x) = 0

sin (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} 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}

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

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

解く

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

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

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

x = 36 0^{\circ} n

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

範囲の解答

0 \leq x \leq 36 0^{\circ}

x = 0, x = 18 0^{\circ}, x = 36 0^{\circ}

すべての解を組み合わせる

x = 0, x = 9 0^{\circ}, x = 18 0^{\circ}, x = 27 0^{\circ}, x = 36 0^{\circ}

グラフ

人気の例

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