erweitern 1/4 (1-sin(4x))-2cos^2(x)sin^2(x)

Lösung

erweitern

\frac{1}{4} (1 - sin (4 x)) - 2 cos^{2} (x) sin^{2} (x)

\frac{1 - sin ( 4 x )}{4} - 2 cos^{2} (x) sin^{2} (x)

Schritte zur Lösung

\frac{1}{4} (1 - sin (4 x)) - 2 cos^{2} (x) sin^{2} (x)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

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

= \frac{1}{4} \cdot 1 - \frac{1}{4} sin (4 x) - 2 cos^{2} (x) sin^{2} (x)

Vereinfache

\frac{1}{4} \cdot 1 - \frac{1}{4} sin (4 x) : \frac{1 - sin ( 4 x )}{4}

= \frac{1 - sin ( 4 x )}{4} - 2 cos^{2} (x) sin^{2} (x)

s im pl i f y 10 (sec^{2} (x) + csc^{2} (x))

e x p an d cos (x) (- sin (x) + 1)

e x p an d π (x + π)

e x p an d \frac{1}{( s - x ) ( s - y )}

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