vereinfachen 1/2 (arcsin(x)+1/2 sin(2arcsin(x)))

Lösung

vereinfachen

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

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

Schritte zur Lösung

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

Wende Bruchregel an:

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

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

Apply rule:

1 \cdot a = a

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

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

e x p an d \frac{π}{3} ((18 + y) (3 + \frac{y}{6})^{2} - (21 \cdot 3)^{2}) y

s im pl i f y (1 + i t + t^{2})^{3}

e x p an d \frac{5 x ^{2}}{( x ^{2} - 9 ) ^{2}}

s im pl i f y 4 (5 - sin (x))

e x p an d 7 (6 + 4)