1/2 arctan(2/2)

解

\frac{1}{2} arctan (\frac{2}{2})

\frac{π}{8}

十進法表記

22.5

解答ステップ

\frac{1}{2} arctan (\frac{2}{2})

次の自明恒等式を使用する:

arctan (\frac{2}{2}) = \frac{π}{4}

arctan (\frac{2}{2})

x 0 \frac{3}{3} 13 arctan (x) 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} arctan (x) 0^{\circ} 3 0^{\circ} 4 5^{\circ} 6 0^{\circ}

= \frac{π}{4}

= \frac{1}{2} \cdot \frac{π}{4}

簡素化

\frac{1}{2} \cdot \frac{π}{4} : \frac{π}{8}

\frac{1}{2} \cdot \frac{π}{4}

分数を乗じる:

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

= \frac{1 π}{2 \cdot 4}

乗算:

1 π = π

= \frac{π}{2 \cdot 4}

数を乗じる:

2 \cdot 4 = 8

= \frac{π}{8}

= \frac{π}{8}