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 >

2/3 =(sin(x))/(sin(135))

解

\frac{2}{3} = \frac{sin ( x )}{sin ( 13 5 ^{\circ} )}

解

x = 0.49088 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.49088 \dots + 36 0^{\circ} n

+1

ラジアン

x = 0.49088 \dots + 2 πn, x = π - 0.49088 \dots + 2 πn

解答ステップ

\frac{2}{3} = \frac{sin ( x )}{sin ( 13 5 ^{\circ} )}

辺を交換する

\frac{sin ( x )}{sin ( 13 5 ^{\circ} )} = \frac{2}{3}

sin (13 5^{\circ}) = \frac{2}{2}

sin (13 5^{\circ})

次の自明恒等式を使用する:

sin (13 5^{\circ}) = \frac{2}{2}

sin (13 5^{\circ})

sin (x)

36 0^{\circ} n

循環を含む周期性テーブル:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= \frac{2}{2}

= \frac{2}{2}

\frac{sin ( x )}{\frac{2}{2}} = \frac{2}{3}

以下で両辺を乗じる:

\frac{2}{2}

\frac{sin ( x )}{\frac{2}{2}} = \frac{2}{3}

以下で両辺を乗じる:

\frac{2}{2}

\frac{sin ( x ) \frac{2}{2}}{\frac{2}{2}} = \frac{2 \cdot \frac{2}{2}}{3}

簡素化

\frac{sin ( x ) \frac{2}{2}}{\frac{2}{2}} = \frac{2 \cdot \frac{2}{2}}{3}

簡素化

\frac{sin ( x ) \frac{2}{2}}{\frac{2}{2}} : sin (x)

\frac{sin ( x ) \frac{2}{2}}{\frac{2}{2}}

分数の規則を適用する:

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

= \frac{sin ( x ) \frac{2}{2} \cdot 2}{2}

乗じる

sin (x) \frac{2}{2} \cdot 2 : 2 sin (x)

sin (x) \frac{2}{2} \cdot 2

分数を乗じる:

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

= \frac{2 sin ( x ) \cdot 2}{2}

共通因数を約分する:

2

= 2 sin (x)

= \frac{2 sin ( x )}{2}

共通因数を約分する:

2

= sin (x)

簡素化

\frac{2 \cdot \frac{2}{2}}{3} : \frac{2}{3}

\frac{2 \cdot \frac{2}{2}}{3}

乗じる

2 \cdot \frac{2}{2} : 2

2 \cdot \frac{2}{2}

分数を乗じる:

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

= \frac{2 \cdot 2}{2}

共通因数を約分する:

2

= 2

= \frac{2}{3}

sin (x) = \frac{2}{3}

sin (x) = \frac{2}{3}

sin (x) = \frac{2}{3}

三角関数の逆数プロパティを適用する

sin (x) = \frac{2}{3}

以下の一般解

sin (x) = \frac{2}{3}

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

x = arcsin (\frac{2}{3}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{2}{3}) + 36 0^{\circ} n

x = arcsin (\frac{2}{3}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{2}{3}) + 36 0^{\circ} n

10進法形式で解を証明する

x = 0.49088 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.49088 \dots + 36 0^{\circ} n

グラフ

人気の例

sin(x)+2(cos(x))^2=1

sin (x) + 2 (cos (x))^{2} = 1

a sin (2 θ) = 0

cos(2x)=0,x<= 2pi,0

cos (2 x) = 0, x \leq 2 π, 0

7+csc(2x)=3cot^2(2x)

7 + csc (2 x) = 3 cot^{2} (2 x)

cos(θ)=cos(pi/(13))

cos (θ) = cos (\frac{π}{13})