ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある三角関数 >

solvefor t,L{sin(2t)}= 2/(s^2+4)

解

解く

t, L {sin (2 t)} = \frac{2}{s ^{2} + 4}

解

t = \frac{arcsin ( \frac{2}{L ( s ^{2} + 4 )} )}{2} + πn, t = \frac{π}{2} + \frac{arcsin ( - \frac{2}{L ( s ^{2} + 4 )} )}{2} + πn

解答ステップ

L {sin (2 t)} = \frac{2}{s ^{2} + 4}

以下で両辺を割る

L

L {sin (2 t)} = \frac{2}{s ^{2} + 4}

以下で両辺を割る

L

\frac{L { sin ( 2 t ) }}{L} = \frac{\frac{2}{s ^{2} + 4}}{L}

簡素化

\frac{L { sin ( 2 t ) }}{L} = \frac{\frac{2}{s ^{2} + 4}}{L}

簡素化

\frac{L ( sin ( 2 t ) )}{L} : sin (2 t)

\frac{L { sin ( 2 t ) }}{L}

括弧を削除する:

(a) = a

= \frac{L sin ( 2 t )}{L}

共通因数を約分する:

L

= sin (2 t)

簡素化

\frac{\frac{2}{s ^{2} + 4}}{L} : \frac{2}{L ( s ^{2} + 4 )}

\frac{\frac{2}{s ^{2} + 4}}{L}

分数の規則を適用する:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{2}{( s ^{2} + 4 ) L}

sin (2 t) = \frac{2}{L ( s ^{2} + 4 )}

sin (2 t) = \frac{2}{L ( s ^{2} + 4 )}

sin (2 t) = \frac{2}{L ( s ^{2} + 4 )}

三角関数の逆数プロパティを適用する

sin (2 t) = \frac{2}{L ( s ^{2} + 4 )}

以下の一般解

sin (2 t) = \frac{2}{L ( s ^{2} + 4 )}

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

2 t = arcsin (\frac{2}{L ( s ^{2} + 4 )}) + 2 πn, 2 t = π + arcsin (- \frac{2}{L ( s ^{2} + 4 )}) + 2 πn

2 t = arcsin (\frac{2}{L ( s ^{2} + 4 )}) + 2 πn, 2 t = π + arcsin (- \frac{2}{L ( s ^{2} + 4 )}) + 2 πn

解く

2 t = arcsin (\frac{2}{L ( s ^{2} + 4 )}) + 2 πn : t = \frac{arcsin ( \frac{2}{L ( s ^{2} + 4 )} )}{2} + πn

2 t = arcsin (\frac{2}{L ( s ^{2} + 4 )}) + 2 πn

以下で両辺を割る

2

2 t = arcsin (\frac{2}{L ( s ^{2} + 4 )}) + 2 πn

以下で両辺を割る

2

\frac{2 t}{2} = \frac{arcsin ( \frac{2}{L ( s ^{2} + 4 )} )}{2} + \frac{2 πn}{2}

簡素化

t = \frac{arcsin ( \frac{2}{L ( s ^{2} + 4 )} )}{2} + πn

t = \frac{arcsin ( \frac{2}{L ( s ^{2} + 4 )} )}{2} + πn

解く

2 t = π + arcsin (- \frac{2}{L ( s ^{2} + 4 )}) + 2 πn : t = \frac{π}{2} + \frac{arcsin ( - \frac{2}{L ( s ^{2} + 4 )} )}{2} + πn

2 t = π + arcsin (- \frac{2}{L ( s ^{2} + 4 )}) + 2 πn

以下で両辺を割る

2

2 t = π + arcsin (- \frac{2}{L ( s ^{2} + 4 )}) + 2 πn

以下で両辺を割る

2

\frac{2 t}{2} = \frac{π}{2} + \frac{arcsin ( - \frac{2}{L ( s ^{2} + 4 )} )}{2} + \frac{2 πn}{2}

簡素化

t = \frac{π}{2} + \frac{arcsin ( - \frac{2}{L ( s ^{2} + 4 )} )}{2} + πn

t = \frac{π}{2} + \frac{arcsin ( - \frac{2}{L ( s ^{2} + 4 )} )}{2} + πn

t = \frac{arcsin ( \frac{2}{L ( s ^{2} + 4 )} )}{2} + πn, t = \frac{π}{2} + \frac{arcsin ( - \frac{2}{L ( s ^{2} + 4 )} )}{2} + πn

グラフ

人気の例

2sec^2(x)+tan(x)=5

2 sec^{2} (x) + tan (x) = 5

1-sin(x)=cos(2x)

1 - sin (x) = cos (2 x)

sin (x) - \frac{1}{2} = 0

4cos^2(x)=3-4cos(x)

4 cos^{2} (x) = 3 - 4 cos (x)

sin (x) = 0.32