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人気のある三角関数 >

(sin(25)}{5.41}=\frac{sin(x))/9

解

\frac{sin ( 2 5 ^{\circ} )}{5.41} = \frac{sin ( x )}{9}

解

x = 0.77969 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.77969 \dots + 36 0^{\circ} n

+1

ラジアン

x = 0.77969 \dots + 2 πn, x = π - 0.77969 \dots + 2 πn

解答ステップ

\frac{sin ( 2 5 ^{\circ} )}{5.41} = \frac{sin ( x )}{9}

辺を交換する

\frac{sin ( x )}{9} = \frac{sin ( 2 5 ^{\circ} )}{5.41}

以下で両辺を乗じる:

9

\frac{sin ( x )}{9} = \frac{sin ( 2 5 ^{\circ} )}{5.41}

以下で両辺を乗じる:

9

\frac{9 sin ( x )}{9} = \frac{9 sin ( 2 5 ^{\circ} )}{5.41}

簡素化

sin (x) = \frac{9 sin ( 2 5 ^{\circ} )}{5.41}

sin (x) = \frac{9 sin ( 2 5 ^{\circ} )}{5.41}

三角関数の逆数プロパティを適用する

sin (x) = \frac{9 sin ( 2 5 ^{\circ} )}{5.41}

以下の一般解

sin (x) = \frac{9 sin ( 2 5 ^{\circ} )}{5.41}

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

x = arcsin (\frac{9 sin ( 2 5 ^{\circ} )}{5.41}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{9 sin ( 2 5 ^{\circ} )}{5.41}) + 36 0^{\circ} n

x = arcsin (\frac{9 sin ( 2 5 ^{\circ} )}{5.41}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{9 sin ( 2 5 ^{\circ} )}{5.41}) + 36 0^{\circ} n

10進法形式で解を証明する

x = 0.77969 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.77969 \dots + 36 0^{\circ} n

グラフ

人気の例

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cos (θ) = \frac{4}{17}

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