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人気のある三角関数 >

(sin(90))/(458.912)=(sin(x))/(450)

解

\frac{sin ( 9 0 ^{\circ} )}{458.912} = \frac{sin ( x )}{450}

解

x = 1.37339 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.37339 \dots + 36 0^{\circ} n

+1

ラジアン

x = 1.37339 \dots + 2 πn, x = π - 1.37339 \dots + 2 πn

解答ステップ

\frac{sin ( 9 0 ^{\circ} )}{458.912} = \frac{sin ( x )}{450}

sin (9 0^{\circ}) = 1

sin (9 0^{\circ})

次の自明恒等式を使用する:

sin (9 0^{\circ}) = 1

sin (9 0^{\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}

= 1

= 1

\frac{1}{458.912} = \frac{sin ( x )}{450}

辺を交換する

\frac{sin ( x )}{450} = \frac{1}{458.912}

以下で両辺を乗じる:

10

\frac{sin ( x )}{450} = \frac{1}{458.912}

以下で両辺を乗じる:

10

\frac{sin ( x )}{450} \cdot 10 = \frac{1}{458.912} \cdot 10

簡素化

\frac{sin ( x )}{450} \cdot 10 = \frac{1}{458.912} \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{1}{458.912} \cdot 10 : \frac{10}{458.912}

\frac{1}{458.912} \cdot 10

分数を乗じる:

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

= \frac{1 \cdot 10}{458.912}

数を乗じる:

1 \cdot 10 = 10

= \frac{10}{458.912}

\frac{sin ( x )}{45} = \frac{10}{458.912}

\frac{sin ( x )}{45} = \frac{10}{458.912}

\frac{sin ( x )}{45} = \frac{10}{458.912}

以下で両辺を乗じる:

45

\frac{sin ( x )}{45} = \frac{10}{458.912}

以下で両辺を乗じる:

45

\frac{45 sin ( x )}{45} = \frac{10 \cdot 45}{458.912}

簡素化

\frac{45 sin ( x )}{45} = \frac{10 \cdot 45}{458.912}

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{10 \cdot 45}{458.912} : 0.98058 \dots

\frac{10 \cdot 45}{458.912}

数を乗じる:

10 \cdot 45 = 450

= \frac{450}{458.912}

数を割る:

\frac{450}{458.912} = 0.98058 \dots

= 0.98058 \dots

sin (x) = 0.98058 \dots

sin (x) = 0.98058 \dots

sin (x) = 0.98058 \dots

三角関数の逆数プロパティを適用する

sin (x) = 0.98058 \dots

以下の一般解

sin (x) = 0.98058 \dots

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

x = arcsin (0.98058 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.98058 \dots) + 36 0^{\circ} n

x = arcsin (0.98058 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.98058 \dots) + 36 0^{\circ} n

10進法形式で解を証明する

x = 1.37339 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.37339 \dots + 36 0^{\circ} n

グラフ

人気の例

0=(2pi^2cos(\frac{pix)/(10))}{25}

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812.25=399.6001+400-1140cos(a)

solvefor x,(sin(pix)+cos(piy))^5=36