faktorisieren cos^{22}(x)-sin^{22}(x)

Lösung

faktorisieren

cos^{22} (x) - sin^{22} (x)

(cos^{11} (x) + sin^{11} (x)) (cos^{11} (x) - sin^{11} (x))

Schritte zur Lösung

cos^{22} (x) - sin^{22} (x)

cos^{22} (x) = (cos^{11} (x))^{2}

sin^{22} (x) = (sin^{11} (x))^{2}

= (cos^{11} (x))^{2} - (sin^{11} (x))^{2}

Wende Formel zur Differenz von zwei Quadraten an:

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

(cos^{11} (x))^{2} - (sin^{11} (x))^{2} = (cos^{11} (x) + sin^{11} (x)) (cos^{11} (x) - sin^{11} (x))

= (cos^{11} (x) + sin^{11} (x)) (cos^{11} (x) - sin^{11} (x))

s im pl i f y \frac{( 5 x ^{4} - 3 x ^{3} + 2 x ^{2} - 7 x + 3 )}{( x - 1 )}

s im pl i f y arctan (\frac{( 2 a ^{x} )}{( 1 - a ^{2 x} )})

s im pl i f y l (sin^{2} (2 x))

f a c t or a^{4} b^{3} + a^{3} b^{4}

s im pl i f y \frac{1}{tan ( x ) sec ^{2} ( x )}