erweitern sin(a)*(1+sin(a)+sin^2(a))

Lösung

erweitern

sin (a) \cdot (1 + sin (a) + sin^{2} (a))

sin (a) + sin^{2} (a) + sin^{3} (a)

Schritte zur Lösung

sin (a) (1 + sin (a) + sin^{2} (a))

Wende das Distributivgesetz an:

m (a + b + c) = ma + mb + m c

sin (a) (1 + sin (a) + sin^{2} (a)) = sin (a) \cdot 1 + sin (a) sin (a) + sin (a) sin^{2} (a)

= sin (a) \cdot 1 + sin (a) sin (a) + sin (a) sin^{2} (a)

Vereinfache

sin (a) \cdot 1 + sin (a) sin (a) + sin (a) sin^{2} (a) : sin (a) + sin^{2} (a) + sin^{3} (a)

= sin (a) + sin^{2} (a) + sin^{3} (a)

e x p an d sec (\frac{π}{3} - \frac{π}{4})

e x p an d 5 (7 - 8)

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

e x p an d (a + b) cos (a) - cos (a + b) sin (a)

e x p an d \frac{x ^{2} + 5 x + 6}{( x - 1 ) ( x ^{2} + 2 x + 3 )}