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 >

20=2.891sin(0.016d-1.183)+18.512

解

20 = 2.891 sin (0.016 d - 1.183) + 18.512

解

d = \frac{0.54065 \dots}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}, d = \frac{π}{0.016} - \frac{0.54065 \dots}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

+1

度

d = 6172.39781 \dots^{\circ} + 2250 0^{\circ} n, d = 13550.21558 \dots^{\circ} + 2250 0^{\circ} n

解答ステップ

20 = 2.891 sin (0.016 d - 1.183) + 18.512

辺を交換する

2.891 sin (0.016 d - 1.183) + 18.512 = 20

以下で両辺を乗じる:

1000

2.891 sin (0.016 d - 1.183) + 18.512 = 20

小数点を取り除くには, 小数点以下の各桁に10を乗じます小数点の右側は

3

桁なので,

1000 を乗じます

2.891 sin (0.016 d - 1.183) \cdot 1000 + 18.512 \cdot 1000 = 20 \cdot 1000

改良

2891 sin (0.016 d - 1.183) + 18512 = 20000

2891 sin (0.016 d - 1.183) + 18512 = 20000

18512

を右側に移動します

2891 sin (0.016 d - 1.183) + 18512 = 20000

両辺から

18512

を引く

2891 sin (0.016 d - 1.183) + 18512 - 18512 = 20000 - 18512

簡素化

2891 sin (0.016 d - 1.183) = 1488

2891 sin (0.016 d - 1.183) = 1488

以下で両辺を割る

2891

2891 sin (0.016 d - 1.183) = 1488

以下で両辺を割る

2891

\frac{2891 sin ( 0.016 d - 1.183 )}{2891} = \frac{1488}{2891}

簡素化

sin (0.016 d - 1.183) = \frac{1488}{2891}

sin (0.016 d - 1.183) = \frac{1488}{2891}

三角関数の逆数プロパティを適用する

sin (0.016 d - 1.183) = \frac{1488}{2891}

以下の一般解

sin (0.016 d - 1.183) = \frac{1488}{2891}

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

0.016 d - 1.183 = arcsin (\frac{1488}{2891}) + 2 πn, 0.016 d - 1.183 = π - arcsin (\frac{1488}{2891}) + 2 πn

0.016 d - 1.183 = arcsin (\frac{1488}{2891}) + 2 πn, 0.016 d - 1.183 = π - arcsin (\frac{1488}{2891}) + 2 πn

解く

0.016 d - 1.183 = arcsin (\frac{1488}{2891}) + 2 πn : d = \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

0.016 d - 1.183 = arcsin (\frac{1488}{2891}) + 2 πn

1.183

を右側に移動します

0.016 d - 1.183 = arcsin (\frac{1488}{2891}) + 2 πn

両辺に

1.183

を足す

0.016 d - 1.183 + 1.183 = arcsin (\frac{1488}{2891}) + 2 πn + 1.183

簡素化

0.016 d = arcsin (\frac{1488}{2891}) + 2 πn + 1.183

0.016 d = arcsin (\frac{1488}{2891}) + 2 πn + 1.183

以下で両辺を割る

0.016

0.016 d = arcsin (\frac{1488}{2891}) + 2 πn + 1.183

以下で両辺を割る

0.016

\frac{0.016 d}{0.016} = \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

簡素化

d = \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

d = \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

解く

0.016 d - 1.183 = π - arcsin (\frac{1488}{2891}) + 2 πn : d = \frac{π}{0.016} - \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

0.016 d - 1.183 = π - arcsin (\frac{1488}{2891}) + 2 πn

1.183

を右側に移動します

0.016 d - 1.183 = π - arcsin (\frac{1488}{2891}) + 2 πn

両辺に

1.183

を足す

0.016 d - 1.183 + 1.183 = π - arcsin (\frac{1488}{2891}) + 2 πn + 1.183

簡素化

0.016 d = π - arcsin (\frac{1488}{2891}) + 2 πn + 1.183

0.016 d = π - arcsin (\frac{1488}{2891}) + 2 πn + 1.183

以下で両辺を割る

0.016

0.016 d = π - arcsin (\frac{1488}{2891}) + 2 πn + 1.183

以下で両辺を割る

0.016

\frac{0.016 d}{0.016} = \frac{π}{0.016} - \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

簡素化

d = \frac{π}{0.016} - \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

d = \frac{π}{0.016} - \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

d = \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}, d = \frac{π}{0.016} - \frac{arcsin ( \frac{1488}{2891} )}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

10進法形式で解を証明する

d = \frac{0.54065 \dots}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}, d = \frac{π}{0.016} - \frac{0.54065 \dots}{0.016} + \frac{2 πn}{0.016} + \frac{1.183}{0.016}

グラフ

人気の例

2sin(θ)=-1,0<= θ<2pi

2 sin (θ) = - 1, 0 \leq θ < 2 π

cos (16 x) = 0

sin(θ)=-(sqrt(35))/6

sin (θ) = - \frac{35}{6}

0.6 = cos (x)

3 tan^{3} (x) - 1 = 0