erweitern (50cos(8x))/((cos(x)-1)^2)

Lösung

erweitern

\frac{50 cos ( 8 x )}{( cos ( x ) - 1 ) ^{2}}

\frac{50 cos ( 8 x )}{cos ^{2} ( x ) - 2 cos ( x ) + 1}

Schritte zur Lösung

\frac{50 cos ( 8 x )}{( cos ( x ) - 1 ) ^{2}}

(cos (x) - 1)^{2} = cos^{2} (x) - 2 cos (x) + 1

= \frac{50 cos ( 8 x )}{cos ^{2} ( x ) - 2 cos ( x ) + 1}

e x p an d 2 ((- 2 x + 2) (2 x^{2} - 1))

e x p an d sec (x) (1 - sin (2 x))

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

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

e x p an d f (\frac{t e ^{a t}}{a} + \frac{- e ^{a t} + 1}{a ^{2}})