erweitern sin(x)(cos(x)+cos(x)sin(x))

Lösung

erweitern

sin (x) (cos (x) + cos (x) sin (x))

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

Schritte zur Lösung

sin (x) (cos (x) + cos (x) sin (x))

Wende das Distributivgesetz an:

a (b + c) = ab + a c

sin (x) (cos (x) + cos (x) sin (x)) = sin (x) cos (x) + sin (x) cos (x) sin (x)

= sin (x) cos (x) + sin (x) cos (x) sin (x)

Vereinfache

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

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

e x p an d \frac{180 ( 5 - x ^{2} )}{( x ^{2} + 15 ) ^{3}}

e x p an d (240 cos (w x) - 29 cos (3 w x))^{2}

e x p an d \frac{9 x ^{3} - 54 x ^{2} + 12 x + 5}{( x - 2 ) ^{3}}

s im pl i f y 5 x (x - 72)

e x p an d \frac{( ( s + 1 ) \cdot e ^{(- 0.5 s)} )}{( s \cdot ( s + 2 ) \cdot ( s + 3 ) )}