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人気のある三角関数 >

0.322=sin(3.92232*x)

解

0.322 = sin (3.92232 \cdot x)

解

x = \frac{0.32784 \dots}{3.92232} + \frac{2 πn}{3.92232}, x = \frac{π}{3.92232} - \frac{0.32784 \dots}{3.92232} + \frac{2 πn}{3.92232}

+1

度

x = 4.78898 \dots^{\circ} + 91.78241 \dots^{\circ} n, x = 41.10222 \dots^{\circ} + 91.78241 \dots^{\circ} n

解答ステップ

0.322 = sin (3.92232 x)

辺を交換する

sin (3.92232 x) = 0.322

三角関数の逆数プロパティを適用する

sin (3.92232 x) = 0.322

以下の一般解

sin (3.92232 x) = 0.322

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

3.92232 x = arcsin (0.322) + 2 πn, 3.92232 x = π - arcsin (0.322) + 2 πn

3.92232 x = arcsin (0.322) + 2 πn, 3.92232 x = π - arcsin (0.322) + 2 πn

解く

3.92232 x = arcsin (0.322) + 2 πn : x = \frac{arcsin ( 0.322 )}{3.92232} + \frac{2 πn}{3.92232}

3.92232 x = arcsin (0.322) + 2 πn

以下で両辺を割る

3.92232

3.92232 x = arcsin (0.322) + 2 πn

以下で両辺を割る

3.92232

\frac{3.92232 x}{3.92232} = \frac{arcsin ( 0.322 )}{3.92232} + \frac{2 πn}{3.92232}

簡素化

x = \frac{arcsin ( 0.322 )}{3.92232} + \frac{2 πn}{3.92232}

x = \frac{arcsin ( 0.322 )}{3.92232} + \frac{2 πn}{3.92232}

解く

3.92232 x = π - arcsin (0.322) + 2 πn : x = \frac{π}{3.92232} - \frac{arcsin ( 0.322 )}{3.92232} + \frac{2 πn}{3.92232}

3.92232 x = π - arcsin (0.322) + 2 πn

以下で両辺を割る

3.92232

3.92232 x = π - arcsin (0.322) + 2 πn

以下で両辺を割る

3.92232

\frac{3.92232 x}{3.92232} = \frac{π}{3.92232} - \frac{arcsin ( 0.322 )}{3.92232} + \frac{2 πn}{3.92232}

簡素化

x = \frac{π}{3.92232} - \frac{arcsin ( 0.322 )}{3.92232} + \frac{2 πn}{3.92232}

x = \frac{π}{3.92232} - \frac{arcsin ( 0.322 )}{3.92232} + \frac{2 πn}{3.92232}

x = \frac{arcsin ( 0.322 )}{3.92232} + \frac{2 πn}{3.92232}, x = \frac{π}{3.92232} - \frac{arcsin ( 0.322 )}{3.92232} + \frac{2 πn}{3.92232}

10進法形式で解を証明する

x = \frac{0.32784 \dots}{3.92232} + \frac{2 πn}{3.92232}, x = \frac{π}{3.92232} - \frac{0.32784 \dots}{3.92232} + \frac{2 πn}{3.92232}

グラフ

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