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(45))/(497.01)=(sin(x))/(450)

解

\frac{sin ( 4 5 ^{\circ} )}{497.01} = \frac{sin ( x )}{450}

解

x = 0.69479 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.69479 \dots + 36 0^{\circ} n

+1

ラジアン

x = 0.69479 \dots + 2 πn, x = π - 0.69479 \dots + 2 πn

解答ステップ

\frac{sin ( 4 5 ^{\circ} )}{497.01} = \frac{sin ( x )}{450}

sin (4 5^{\circ}) = \frac{2}{2}

sin (4 5^{\circ})

次の自明恒等式を使用する:

sin (4 5^{\circ}) = \frac{2}{2}

sin (4 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{\frac{2}{2}}{497.01} = \frac{sin ( x )}{450}

辺を交換する

\frac{sin ( x )}{450} = \frac{\frac{2}{2}}{497.01}

以下で両辺を乗じる:

10

\frac{sin ( x )}{450} = \frac{\frac{2}{2}}{497.01}

以下で両辺を乗じる:

10

\frac{sin ( x )}{450} \cdot 10 = \frac{\frac{2}{2}}{497.01} \cdot 10

簡素化

\frac{sin ( x )}{450} \cdot 10 = \frac{\frac{2}{2}}{497.01} \cdot 10

簡素化

\frac{sin ( x )}{450} \cdot 10 : \frac{sin ( x )}{45}

\frac{sin ( x )}{450} \cdot 10

分数を乗じる:

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

= \frac{sin ( x ) \cdot 10}{450}

共通因数を約分する:

10

= \frac{sin ( x )}{45}

簡素化

\frac{\frac{2}{2}}{497.01} \cdot 10 : \frac{10 2}{994.02}

\frac{\frac{2}{2}}{497.01} \cdot 10

\frac{\frac{2}{2}}{497.01} = \frac{2}{994.02}

\frac{\frac{2}{2}}{497.01}

分数の規則を適用する:

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

= \frac{2}{2 \cdot 497.01}

数を乗じる:

2 \cdot 497.01 = 994.02

= \frac{2}{994.02}

= 10 \cdot \frac{2}{994.02}

分数を乗じる:

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

= \frac{2 \cdot 10}{994.02}

\frac{sin ( x )}{45} = \frac{10 2}{994.02}

\frac{sin ( x )}{45} = \frac{10 2}{994.02}

\frac{sin ( x )}{45} = \frac{10 2}{994.02}

以下で両辺を乗じる:

45

\frac{sin ( x )}{45} = \frac{10 2}{994.02}

以下で両辺を乗じる:

45

\frac{45 sin ( x )}{45} = \frac{45 \cdot 10 2}{994.02}

簡素化

\frac{45 sin ( x )}{45} = \frac{45 \cdot 10 2}{994.02}

簡素化

\frac{45 sin ( x )}{45} : sin (x)

\frac{45 sin ( x )}{45}

数を割る:

\frac{45}{45} = 1

= sin (x)

簡素化

\frac{45 \cdot 10 2}{994.02} : 0.64022 \dots

\frac{45 \cdot 10 2}{994.02}

数を乗じる:

45 \cdot 10 = 450

= \frac{450 2}{994.02}

元を10進法形式に変換する

2 = 1.41421 \dots

= \frac{450 \cdot 1.41421 \dots}{994.02}

数を乗じる:

450 \cdot 1.41421 \dots = 636.39610 \dots

= \frac{636.39610 \dots}{994.02}

数を割る:

\frac{636.39610 \dots}{994.02} = 0.64022 \dots

= 0.64022 \dots

sin (x) = 0.64022 \dots

sin (x) = 0.64022 \dots

sin (x) = 0.64022 \dots

三角関数の逆数プロパティを適用する

sin (x) = 0.64022 \dots

以下の一般解

sin (x) = 0.64022 \dots

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

x = arcsin (0.64022 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.64022 \dots) + 36 0^{\circ} n

x = arcsin (0.64022 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.64022 \dots) + 36 0^{\circ} n

10進法形式で解を証明する

x = 0.69479 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.69479 \dots + 36 0^{\circ} n

グラフ

人気の例

(35)/(sin(A))=(60)/(sin(25))

\frac{35}{sin ( A )} = \frac{60}{sin ( 2 5 ^{\circ} )}

4csc(x)+sin(x)+5=0

4 csc (x) + sin (x) + 5 = 0

- 3 sin (3 x) = 1

cos(θ)= 3/5 (270360)

cos (θ) = \frac{3}{5} (270360)

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

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