(sin(45))/(1.41)

解

\frac{sin ( 4 5 ^{\circ} )}{1.41}

\frac{50 2}{141}

十進法表記

0.50149 \dots

解答ステップ

\frac{sin ( 4 5 ^{\circ} )}{1.41}

= \frac{sin ( 4 5 ^{\circ} )}{\frac{141}{100}}

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{\frac{2}{2}}{\frac{141}{100}}

簡素化

\frac{\frac{2}{2}}{\frac{141}{100}} : \frac{50 2}{141}

\frac{\frac{2}{2}}{\frac{141}{100}}

分数を割る:

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

= \frac{2 \cdot 100}{2 \cdot 141}

数を乗じる:

2 \cdot 141 = 282

= \frac{100 2}{282}

共通因数を約分する:

2

= \frac{50 2}{141}

= \frac{50 2}{141}