erweitern (2(cos((pin)/2)-1))/(pi^2n^2)

Lösung

erweitern

\frac{2 ( cos ( \frac{πn}{2} ) - 1 )}{π ^{2} n ^{2}}

\frac{2 cos ( \frac{πn}{2} )}{π ^{2} n ^{2}} - \frac{2}{π ^{2} n ^{2}}

Schritte zur Lösung

\frac{2 ( cos ( \frac{πn}{2} ) - 1 )}{π ^{2} n ^{2}}

Multipliziere aus

2 (cos (\frac{πn}{2}) - 1) : 2 cos (\frac{πn}{2}) - 2

= \frac{2 cos ( \frac{πn}{2} ) - 2}{π ^{2} n ^{2}}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{2 cos ( \frac{πn}{2} ) - 2}{π ^{2} n ^{2}} = \frac{2 cos ( \frac{πn}{2} )}{π ^{2} n ^{2}} - \frac{2}{π ^{2} n ^{2}}

= \frac{2 cos ( \frac{πn}{2} )}{π ^{2} n ^{2}} - \frac{2}{π ^{2} n ^{2}}

e x p an d \frac{17 ( P + Ds )}{34 s ^{2} + 17 s + 0.6}

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

e x p an d (\frac{x}{- 0.08})^{2}

e x p an d (- 1, 8) y (3, - 4)

s im pl i f y ((u + 4) - 3) ((u + 4) + 3)