faktorisieren tan^2(x)-sin^2(x)

Lösung

faktorisieren

tan^{2} (x) - sin^{2} (x)

(tan (x) + sin (x)) (tan (x) - sin (x))

Schritte zur Lösung

tan^{2} (x) - sin^{2} (x)

Wende Formel zur Differenz von zwei Quadraten an:

x^{2} - y^{2} = (x + y) (x - y)

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

= (tan (x) + sin (x)) (tan (x) - sin (x))

s im pl i f y \frac{( 10 + 4 ) - 90}{81}

s im pl i f y tan (x) - cot (x)

s im pl i f y \frac{36}{\frac{2 ^{3}}{4} \cdot 3 + 15}

f a c t or 5 x^{10} y^{5} - 10 x^{7} y^{8} - 25 x^{11} y^{9}

s im pl i f y (1 + sin (x)) (1 - sin (x))