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人気のある三角関数 >

-8*sin(0.784+x)=0

解

- 8 \cdot sin (0.784 + x) = 0

解

x = 6.28318 \dots n - 0.784, x = π + 6.28318 \dots n - 0.784

+1

度

x = - 44.91989 \dots^{\circ} + 36 0^{\circ} n, x = 135.08010 \dots^{\circ} + 36 0^{\circ} n

解答ステップ

- 8 sin (0.784 + x) = 0

以下で両辺を割る

- 8

- 8 sin (0.784 + x) = 0

以下で両辺を割る

- 8

\frac{- 8 sin ( 0.784 + x )}{- 8} = \frac{0}{- 8}

簡素化

sin (0.784 + x) = 0

sin (0.784 + x) = 0

以下の一般解

sin (0.784 + 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}

0.784 + x = 0 + 2 πn, 0.784 + x = π + 2 πn

0.784 + x = 0 + 2 πn, 0.784 + x = π + 2 πn

解く

0.784 + x = 0 + 2 πn : x = 6.28318 \dots n - 0.784

0.784 + x = 0 + 2 πn

0 + 2 πn = 2 πn

0.784 + x = 2 πn

0.784

を右側に移動します

0.784 + x = 2 πn

両辺から

0.784

を引く

0.784 + x - 0.784 = 2 πn - 0.784

簡素化

x = 6.28318 \dots n - 0.784

x = 6.28318 \dots n - 0.784

解く

0.784 + x = π + 2 πn : x = π + 6.28318 \dots n - 0.784

0.784 + x = π + 2 πn

0.784

を右側に移動します

0.784 + x = π + 2 πn

両辺から

0.784

を引く

0.784 + x - 0.784 = π + 2 πn - 0.784

簡素化

x = π + 6.28318 \dots n - 0.784

x = π + 6.28318 \dots n - 0.784

x = 6.28318 \dots n - 0.784, x = π + 6.28318 \dots n - 0.784

グラフ

人気の例

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