vereinfachen 1/2 sin(2arcsin(1/4 (x-3)))

Lösung

vereinfachen

\frac{1}{2} sin (2 arcsin (\frac{1}{4} (x - 3)))

\frac{sin ( 2 arcsin ( \frac{1}{4} ( x - 3 ) ) )}{2}

Schritte zur Lösung

\frac{1}{2} sin (2 arcsin (\frac{1}{4} (x - 3)))

Wende Bruchregel an:

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

= \frac{1 \cdot sin ( 2 arcsin ( \frac{1}{4} ( x - 3 ) ) )}{2}

Apply rule:

1 \cdot a = a

1 \cdot sin (2 arcsin (\frac{1}{4} (x - 3))) = sin (2 arcsin (\frac{1}{4} (x - 3)))

= \frac{sin ( 2 arcsin ( \frac{1}{4} ( x - 3 ) ) )}{2}

e x p an d \frac{( x - 1 ) ^{2}}{2 x + 1}

e x p an d 2 (e^{x} x - e^{x})

e x p an d lo g_{10} (9 \frac{s}{t})

e x p an d \frac{\frac{d}{d x} ( 5 ( x ^{4} - 6 ) )}{2}

e x p an d \frac{2 π}{365} (t - 80)