vereinfachen (sin(a)-1)(sin(a)+1)

Lösung

vereinfachen

(sin (a) - 1) (sin (a) + 1)

- cos^{2} (a)

Schritte zur Lösung

(sin (a) - 1) (sin (a) + 1)

Multipliziere aus

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

= sin^{2} (a) - 1

Verwende die Pythagoreische Identität:

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

1 - sin^{2} (a) = cos^{2} (a)

= - cos^{2} (a)

e x p an d a (2, - 1, 1) + b (1, - 6, 2)

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

s im pl i f y (1 + x^{2} - x 1 + x^{2}) (1 + x^{2})

e x p an d 8 (e^{- 0.4 t} - e^{- 0.6 t})

e x p an d (3 x + 8 y - 24 = 0,) (9 x - 2 y - 18 = 0)