簡約 1/2 (arcsin(x-1)+1/2 sin(2arcsin(x-1)))

解

簡約

\frac{1}{2} (arcsin (x - 1) + \frac{1}{2} sin (2 arcsin (x - 1)))

\frac{arcsin ( x - 1 ) + \frac{1}{2} sin ( 2 arcsin ( x - 1 ) )}{2}

解答ステップ

\frac{1}{2} (arcsin (x - 1) + \frac{1}{2} sin (2 arcsin (x - 1)))

分数の規則を適用する:

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

= \frac{1 \cdot ( arcsin ( x - 1 ) + \frac{1}{2} sin ( 2 arcsin ( x - 1 ) ) )}{2}

規則を適用する:

1 \cdot a = a

1 \cdot (arcsin (x - 1) + \frac{1}{2} sin (2 arcsin (x - 1))) = (arcsin (x - 1) + \frac{1}{2} sin (2 arcsin (x - 1)))

= \frac{arcsin ( x - 1 ) + \frac{1}{2} sin ( 2 arcsin ( x - 1 ) )}{2}