erweitern (1-acos(x))^2

Lösung

erweitern

(1 - a cos (x))^{2}

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

Schritte zur Lösung

(1 - a cos (x))^{2}

Wende Formel für perfekte quadratische Gleichungen an:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

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

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

Vereinfache

1^{2} - 2 \cdot 1 \cdot a cos (x) + (a cos (x))^{2} : 1 - 2 a cos (x) + a^{2} cos^{2} (x)

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

e x p an d π (482 - \frac{272 2}{15})

e x p an d 2 (x - 2) + cot (x)

s im pl i f y (3 x - 4) (x + 8)

e x p an d lo g_{10} (x^{7} y^{- 10})

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