erweitern (sin(x)-cos(x))sin(x)

Lösung

erweitern

(sin (x) - cos (x)) sin (x)

sin^{2} (x) - cos (x) sin (x)

Schritte zur Lösung

(sin (x) - cos (x)) sin (x)

= sin (x) (sin (x) - cos (x))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

sin (x) (sin (x) - cos (x)) = sin (x) sin (x) - sin (x) cos (x)

= sin (x) sin (x) - sin (x) cos (x)

Vereinfache

sin (x) sin (x) - sin (x) cos (x) : sin^{2} (x) - cos (x) sin (x)

= sin^{2} (x) - cos (x) sin (x)

e x p an d lo g_{10} (4 \frac{x}{y})

e x p an d \frac{( x + 3 ) ( x + 5 )}{x + 2}

s im pl i f y (x lo g_{10} (x) - x) (\frac{1}{4 x ^{2}} - \frac{x}{4})

\frac{\partial}{\partial v} ((z) (2 u^{2} + 2 v^{2})^{2})

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