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 >

sin(x-30)=0.7

解

sin (x - 3 0^{\circ}) = 0.7

解

x = 0.77539 \dots + 36 0^{\circ} n + 3 0^{\circ}, x = 18 0^{\circ} - 0.77539 \dots + 36 0^{\circ} n + 3 0^{\circ}

+1

ラジアン

x = 0.77539 \dots + \frac{π}{6} + 2 πn, x = π - 0.77539 \dots + \frac{π}{6} + 2 πn

解答ステップ

sin (x - 3 0^{\circ}) = 0.7

三角関数の逆数プロパティを適用する

sin (x - 3 0^{\circ}) = 0.7

以下の一般解

sin (x - 3 0^{\circ}) = 0.7

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

x - 3 0^{\circ} = arcsin (0.7) + 36 0^{\circ} n, x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n

x - 3 0^{\circ} = arcsin (0.7) + 36 0^{\circ} n, x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n

解く

x - 3 0^{\circ} = arcsin (0.7) + 36 0^{\circ} n : x = arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

x - 3 0^{\circ} = arcsin (0.7) + 36 0^{\circ} n

3 0^{\circ}

を右側に移動します

x - 3 0^{\circ} = arcsin (0.7) + 36 0^{\circ} n

両辺に

3 0^{\circ}

を足す

x - 3 0^{\circ} + 3 0^{\circ} = arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

簡素化

x = arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

x = arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

解く

x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n : x = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n

3 0^{\circ}

を右側に移動します

x - 3 0^{\circ} = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n

両辺に

3 0^{\circ}

を足す

x - 3 0^{\circ} + 3 0^{\circ} = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

簡素化

x = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

x = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

x = arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}, x = 18 0^{\circ} - arcsin (0.7) + 36 0^{\circ} n + 3 0^{\circ}

10進法形式で解を証明する

x = 0.77539 \dots + 36 0^{\circ} n + 3 0^{\circ}, x = 18 0^{\circ} - 0.77539 \dots + 36 0^{\circ} n + 3 0^{\circ}

グラフ

人気の例

<= sqrt(3)*cos(x)-sin(x)=0

tan^2(x)+sec^2(x)=3

4sin^2(x)-6cos^2(x)=0

sin(60-a)=0.598