erweitern (2sin(x)-sin(2x))csc^2(x/2)

Lösung

erweitern

(2 sin (x) - sin (2 x)) csc^{2} (\frac{x}{2})

csc^{2} (\frac{x}{2}) \cdot 2 sin (x) - csc^{2} (\frac{x}{2}) sin (2 x)

Schritte zur Lösung

(2 sin (x) - sin (2 x)) csc^{2} (\frac{x}{2})

= csc^{2} (\frac{x}{2}) (2 sin (x) - sin (2 x))

Wende das Distributivgesetz an:

a (b - c) = ab - a c

csc^{2} (\frac{x}{2}) (2 sin (x) - sin (2 x)) = csc^{2} (\frac{x}{2}) \cdot 2 sin (x) - csc^{2} (\frac{x}{2}) sin (2 x)

= csc^{2} (\frac{x}{2}) \cdot 2 sin (x) - csc^{2} (\frac{x}{2}) sin (2 x)

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

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

e x p an d (2 x^{2} + x - 3) (x + 1)

e x p an d \frac{L - 11}{( s + 1 ) ( s ^{2} + 1 )}

e x p an d \frac{2 ( 5 + 2 10 )}{3}