erweitern (U-(Vcos(θ)+Usin(θ))sin(θ))/(cos(θ))

Lösung

erweitern

\frac{U - ( V cos ( θ ) + U sin ( θ ) ) sin ( θ )}{cos ( θ )}

\frac{U}{cos ( θ )} - V sin (θ) - \frac{U sin ^{2} ( θ )}{cos ( θ )}

Schritte zur Lösung

\frac{U - ( V cos ( θ ) + U sin ( θ ) ) sin ( θ )}{cos ( θ )}

Multipliziere aus

U - (V cos (θ) + U sin (θ)) sin (θ) : U - V sin (θ) cos (θ) - U sin^{2} (θ)

= \frac{U - V sin ( θ ) cos ( θ ) - U sin ^{2} ( θ )}{cos ( θ )}

Wende Bruchregel an:

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

\frac{U - V sin ( θ ) cos ( θ ) - U sin ^{2} ( θ )}{cos ( θ )} = \frac{U}{cos ( θ )} - \frac{V sin ( θ ) cos ( θ )}{cos ( θ )} - \frac{U sin ^{2} ( θ )}{cos ( θ )}

= \frac{U}{cos ( θ )} - \frac{V sin ( θ ) cos ( θ )}{cos ( θ )} - \frac{U sin ^{2} ( θ )}{cos ( θ )}

Streiche

\frac{V sin ( θ ) cos ( θ )}{cos ( θ )} : V sin (θ)

= \frac{U}{cos ( θ )} - V sin (θ) - \frac{U sin ^{2} ( θ )}{cos ( θ )}

e x p an d (15 + t)^{2} \frac{d S}{d t}

e x p an d \frac{5000}{s ( s + 380 )}

e x p an d sin (n (\frac{π}{2} - x))

e x p an d \frac{π r}{r ( r + 1 ) - 1}

e x p an d 2 e^{t} cos (t) \cdot (e^{t} cos (t) + e^{t} sin (t))