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人気のある三角関数 >

((0.871.04sin(20-x))/(0.4))=0.05

解

(\frac{0.87 \cdot 1.04 \cdot sin ( 2 0 ^{\circ} - x )}{0.4}) = 0.05

解

x = - 36 0^{\circ} n + 2 0^{\circ} - 0.02210 \dots, x = - 18 0^{\circ} - 36 0^{\circ} n + 2 0^{\circ} + 0.02210 \dots

+1

ラジアン

x = \frac{π}{9} - 0.02210 \dots - 2 πn, x = - π + \frac{π}{9} + 0.02210 \dots - 2 πn

解答ステップ

(\frac{0.87 \cdot 1.04 sin ( 2 0 ^{\circ} - x )}{0.4}) = 0.05

以下で両辺を乗じる:

0.4

\frac{0.87 \cdot 1.04 sin ( 2 0 ^{\circ} - x )}{0.4} = 0.05

以下で両辺を乗じる:

0.4

\frac{0.4 \cdot 0.87 \cdot 1.04 sin ( 2 0 ^{\circ} - x )}{0.4} = 0.05 \cdot 0.4

簡素化

0.9048 sin (2 0^{\circ} - x) = 0.02

0.9048 sin (2 0^{\circ} - x) = 0.02

以下で両辺を割る

0.9048

0.9048 sin (2 0^{\circ} - x) = 0.02

以下で両辺を割る

0.9048

\frac{0.9048 sin ( 2 0 ^{\circ} - x )}{0.9048} = \frac{0.02}{0.9048}

簡素化

sin (2 0^{\circ} - x) = 0.02210 \dots

sin (2 0^{\circ} - x) = 0.02210 \dots

三角関数の逆数プロパティを適用する

sin (2 0^{\circ} - x) = 0.02210 \dots

以下の一般解

sin (2 0^{\circ} - x) = 0.02210 \dots

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

2 0^{\circ} - x = arcsin (0.02210 \dots) + 36 0^{\circ} n, 2 0^{\circ} - x = 18 0^{\circ} - arcsin (0.02210 \dots) + 36 0^{\circ} n

2 0^{\circ} - x = arcsin (0.02210 \dots) + 36 0^{\circ} n, 2 0^{\circ} - x = 18 0^{\circ} - arcsin (0.02210 \dots) + 36 0^{\circ} n

解く

2 0^{\circ} - x = arcsin (0.02210 \dots) + 36 0^{\circ} n : x = - 36 0^{\circ} n + 2 0^{\circ} - arcsin (0.02210 \dots)

2 0^{\circ} - x = arcsin (0.02210 \dots) + 36 0^{\circ} n

2 0^{\circ}

を右側に移動します

2 0^{\circ} - x = arcsin (0.02210 \dots) + 36 0^{\circ} n

両辺から

2 0^{\circ}

を引く

2 0^{\circ} - x - 2 0^{\circ} = arcsin (0.02210 \dots) + 36 0^{\circ} n - 2 0^{\circ}

簡素化

- x = arcsin (0.02210 \dots) + 36 0^{\circ} n - 2 0^{\circ}

- x = arcsin (0.02210 \dots) + 36 0^{\circ} n - 2 0^{\circ}

以下で両辺を割る

- 1

- x = arcsin (0.02210 \dots) + 36 0^{\circ} n - 2 0^{\circ}

以下で両辺を割る

- 1

\frac{- x}{- 1} = \frac{arcsin ( 0.02210 \dots )}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1}

簡素化

\frac{- x}{- 1} = \frac{arcsin ( 0.02210 \dots )}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1}

簡素化

\frac{- x}{- 1} : x

\frac{- x}{- 1}

分数の規則を適用する:

\frac{- a}{- b} = \frac{a}{b}

= \frac{x}{1}

規則を適用

\frac{a}{1} = a

= x

簡素化

\frac{arcsin ( 0.02210 \dots )}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1} : - 36 0^{\circ} n + 2 0^{\circ} - arcsin (0.02210 \dots)

\frac{arcsin ( 0.02210 \dots )}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1}

条件のようなグループ

= \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1} + \frac{arcsin ( 0.02210 \dots )}{- 1}

\frac{36 0 ^{\circ} n}{- 1} = - 36 0^{\circ} n

\frac{36 0 ^{\circ} n}{- 1}

分数の規則を適用する:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{36 0 ^{\circ} n}{1}

規則を適用

\frac{a}{1} = a

= - 36 0^{\circ} n

= - 36 0^{\circ} n - \frac{2 0 ^{\circ}}{- 1} + \frac{arcsin ( 0.02210 \dots )}{- 1}

\frac{2 0 ^{\circ}}{- 1} = - 2 0^{\circ}

\frac{2 0 ^{\circ}}{- 1}

分数の規則を適用する:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{2 0 ^{\circ}}{1}

分数の規則を適用する:

\frac{a}{1} = a

\frac{2 0 ^{\circ}}{1} = 2 0^{\circ}

= - 2 0^{\circ}

\frac{arcsin ( 0.02210 \dots )}{- 1} = - arcsin (0.02210 \dots)

\frac{arcsin ( 0.02210 \dots )}{- 1}

分数の規則を適用する:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{arcsin ( 0.02210 \dots )}{1}

規則を適用

\frac{a}{1} = a

= - arcsin (0.02210 \dots)

= - 36 0^{\circ} n - (- 2 0^{\circ}) - arcsin (0.02210 \dots)

規則を適用

- (- a) = a

= - 36 0^{\circ} n + 2 0^{\circ} - arcsin (0.02210 \dots)

x = - 36 0^{\circ} n + 2 0^{\circ} - arcsin (0.02210 \dots)

x = - 36 0^{\circ} n + 2 0^{\circ} - arcsin (0.02210 \dots)

x = - 36 0^{\circ} n + 2 0^{\circ} - arcsin (0.02210 \dots)

解く

2 0^{\circ} - x = 18 0^{\circ} - arcsin (0.02210 \dots) + 36 0^{\circ} n : x = - 18 0^{\circ} - 36 0^{\circ} n + 2 0^{\circ} + arcsin (0.02210 \dots)

2 0^{\circ} - x = 18 0^{\circ} - arcsin (0.02210 \dots) + 36 0^{\circ} n

2 0^{\circ}

を右側に移動します

2 0^{\circ} - x = 18 0^{\circ} - arcsin (0.02210 \dots) + 36 0^{\circ} n

両辺から

2 0^{\circ}

を引く

2 0^{\circ} - x - 2 0^{\circ} = 18 0^{\circ} - arcsin (0.02210 \dots) + 36 0^{\circ} n - 2 0^{\circ}

簡素化

- x = 18 0^{\circ} - arcsin (0.02210 \dots) + 36 0^{\circ} n - 2 0^{\circ}

- x = 18 0^{\circ} - arcsin (0.02210 \dots) + 36 0^{\circ} n - 2 0^{\circ}

以下で両辺を割る

- 1

- x = 18 0^{\circ} - arcsin (0.02210 \dots) + 36 0^{\circ} n - 2 0^{\circ}

以下で両辺を割る

- 1

\frac{- x}{- 1} = \frac{18 0 ^{\circ}}{- 1} - \frac{arcsin ( 0.02210 \dots )}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1}

簡素化

\frac{- x}{- 1} = \frac{18 0 ^{\circ}}{- 1} - \frac{arcsin ( 0.02210 \dots )}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1}

簡素化

\frac{- x}{- 1} : x

\frac{- x}{- 1}

分数の規則を適用する:

\frac{- a}{- b} = \frac{a}{b}

= \frac{x}{1}

規則を適用

\frac{a}{1} = a

= x

簡素化

\frac{18 0 ^{\circ}}{- 1} - \frac{arcsin ( 0.02210 \dots )}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1} : - 18 0^{\circ} - 36 0^{\circ} n + 2 0^{\circ} + arcsin (0.02210 \dots)

\frac{18 0 ^{\circ}}{- 1} - \frac{arcsin ( 0.02210 \dots )}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1}

条件のようなグループ

= \frac{18 0 ^{\circ}}{- 1} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1} - \frac{arcsin ( 0.02210 \dots )}{- 1}

\frac{18 0 ^{\circ}}{- 1} = - 18 0^{\circ}

\frac{18 0 ^{\circ}}{- 1}

分数の規則を適用する:

\frac{a}{- b} = - \frac{a}{b}

= - 18 0^{\circ}

規則を適用

\frac{a}{1} = a

= - 18 0^{\circ}

= - 18 0^{\circ} + \frac{36 0 ^{\circ} n}{- 1} - \frac{2 0 ^{\circ}}{- 1} - \frac{arcsin ( 0.02210 \dots )}{- 1}

\frac{36 0 ^{\circ} n}{- 1} = - 36 0^{\circ} n

\frac{36 0 ^{\circ} n}{- 1}

分数の規則を適用する:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{36 0 ^{\circ} n}{1}

規則を適用

\frac{a}{1} = a

= - 36 0^{\circ} n

= - 18 0^{\circ} - 36 0^{\circ} n - \frac{2 0 ^{\circ}}{- 1} - \frac{arcsin ( 0.02210 \dots )}{- 1}

\frac{2 0 ^{\circ}}{- 1} = - 2 0^{\circ}

\frac{2 0 ^{\circ}}{- 1}

分数の規則を適用する:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{2 0 ^{\circ}}{1}

分数の規則を適用する:

\frac{a}{1} = a

\frac{2 0 ^{\circ}}{1} = 2 0^{\circ}

= - 2 0^{\circ}

\frac{arcsin ( 0.02210 \dots )}{- 1} = - arcsin (0.02210 \dots)

\frac{arcsin ( 0.02210 \dots )}{- 1}

分数の規則を適用する:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{arcsin ( 0.02210 \dots )}{1}

規則を適用

\frac{a}{1} = a

= - arcsin (0.02210 \dots)

= - 18 0^{\circ} - 36 0^{\circ} n - (- 2 0^{\circ}) - (- arcsin (0.02210 \dots))

規則を適用

- (- a) = a

= - 18 0^{\circ} - 36 0^{\circ} n + 2 0^{\circ} + arcsin (0.02210 \dots)

x = - 18 0^{\circ} - 36 0^{\circ} n + 2 0^{\circ} + arcsin (0.02210 \dots)

x = - 18 0^{\circ} - 36 0^{\circ} n + 2 0^{\circ} + arcsin (0.02210 \dots)

x = - 18 0^{\circ} - 36 0^{\circ} n + 2 0^{\circ} + arcsin (0.02210 \dots)

x = - 36 0^{\circ} n + 2 0^{\circ} - arcsin (0.02210 \dots), x = - 18 0^{\circ} - 36 0^{\circ} n + 2 0^{\circ} + arcsin (0.02210 \dots)

10進法形式で解を証明する

x = - 36 0^{\circ} n + 2 0^{\circ} - 0.02210 \dots, x = - 18 0^{\circ} - 36 0^{\circ} n + 2 0^{\circ} + 0.02210 \dots

グラフ

人気の例

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