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人気のある三角関数 >

sin(2x)=((8m-2))/5

解

sin (2 x) = \frac{( 8 m - 2 )}{5}

解

x = \frac{arcsin ( \frac{8 m - 2}{5} )}{2} + πn, x = \frac{π}{2} + \frac{arcsin ( - \frac{8 m - 2}{5} )}{2} + πn

解答ステップ

sin (2 x) = \frac{( 8 m - 2 )}{5}

三角関数の逆数プロパティを適用する

sin (2 x) = \frac{8 m - 2}{5}

以下の一般解

sin (2 x) = \frac{8 m - 2}{5}

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

2 x = arcsin (\frac{8 m - 2}{5}) + 2 πn, 2 x = π + arcsin (- \frac{8 m - 2}{5}) + 2 πn

2 x = arcsin (\frac{8 m - 2}{5}) + 2 πn, 2 x = π + arcsin (- \frac{8 m - 2}{5}) + 2 πn

解く

2 x = arcsin (\frac{8 m - 2}{5}) + 2 πn : x = \frac{arcsin ( \frac{8 m - 2}{5} )}{2} + πn

2 x = arcsin (\frac{8 m - 2}{5}) + 2 πn

以下で両辺を割る

2

2 x = arcsin (\frac{8 m - 2}{5}) + 2 πn

以下で両辺を割る

2

\frac{2 x}{2} = \frac{arcsin ( \frac{8 m - 2}{5} )}{2} + \frac{2 πn}{2}

簡素化

x = \frac{arcsin ( \frac{8 m - 2}{5} )}{2} + πn

x = \frac{arcsin ( \frac{8 m - 2}{5} )}{2} + πn

解く

2 x = π + arcsin (- \frac{8 m - 2}{5}) + 2 πn : x = \frac{π}{2} + \frac{arcsin ( - \frac{8 m - 2}{5} )}{2} + πn

2 x = π + arcsin (- \frac{8 m - 2}{5}) + 2 πn

以下で両辺を割る

2

2 x = π + arcsin (- \frac{8 m - 2}{5}) + 2 πn

以下で両辺を割る

2

\frac{2 x}{2} = \frac{π}{2} + \frac{arcsin ( - \frac{8 m - 2}{5} )}{2} + \frac{2 πn}{2}

簡素化

x = \frac{π}{2} + \frac{arcsin ( - \frac{8 m - 2}{5} )}{2} + πn

x = \frac{π}{2} + \frac{arcsin ( - \frac{8 m - 2}{5} )}{2} + πn

x = \frac{arcsin ( \frac{8 m - 2}{5} )}{2} + πn, x = \frac{π}{2} + \frac{arcsin ( - \frac{8 m - 2}{5} )}{2} + πn

グラフ

人気の例

csc(3x)=sin(3x)

csc (3 x) = sin (3 x)

sin^2(x)=((10m-7))/9

sin^{2} (x) = \frac{( 10 m - 7 )}{9}

8sin(x)=2+4/(csc(x))

8 sin (x) = 2 + \frac{4}{csc ( x )}

solvefor y,2e^x-sin(y)=x

so l v e f or y, 2 e^{x} - sin (y) = x

9tan(x/2)+7=5tan(x/2)+3

9 tan (\frac{x}{2}) + 7 = 5 tan (\frac{x}{2}) + 3