erweitern (1+sin(x))sin(x)

Lösung

erweitern

(1 + sin (x)) sin (x)

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

Schritte zur Lösung

(1 + sin (x)) sin (x)

= sin (x) (1 + sin (x))

Wende das Distributivgesetz an:

a (b + c) = ab + a c

sin (x) (1 + sin (x)) = sin (x) \cdot 1 + sin (x) sin (x)

= sin (x) \cdot 1 + sin (x) sin (x)

Vereinfache

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

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

e x p an d \frac{x ^{2} + ( x ^{2} + 4 ) 3 x - 1}{x ^{2} + 4}

e x p an d (- 4 r^{4} cos (θ) - 4 r sin (θ) + r)^{2}

e x p an d (e^{15 x} + e^{- 15 x})^{2}

e x p an d \frac{a + 8}{( a - 2 ) ( a - 9 )}

e x p an d - \frac{4 ( x + 4 ) ^{2}}{9}