erweitern (sin(t)-tcos(t))^2

Lösung

erweitern

(sin (t) - t cos (t))^{2}

t^{2} cos^{2} (t) - t sin (2 t) + sin^{2} (t)

Schritte zur Lösung

(sin (t) - t cos (t))^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(sin (t) - t cos (t))^{2} = sin^{2} (t) - 2 sin (t) t cos (t) + (t cos (t))^{2}

= sin^{2} (t) - 2 sin (t) t cos (t) + (t cos (t))^{2}

Vereinfache

sin^{2} (t) - 2 sin (t) t cos (t) + (t cos (t))^{2} : t^{2} cos^{2} (t) - t sin (2 t) + sin^{2} (t)

= t^{2} cos^{2} (t) - t sin (2 t) + sin^{2} (t)

e x p an d \frac{1}{2} (- \frac{ln ( 5 x )}{2 x ^{2}} - \frac{1}{4 x ^{2}})

s im pl i f y (3 - i)^{7}

e x p an d \frac{( - 3 + 2 i ) ^{5}}{( - 5 3 + 15 i ) ^{7}}

e x p an d [(3 x + 4 + 2 x) (3 x^{2} + 2 x - 8)]

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