erweitern (cos(θ)(x)+sin(θ)(y))^2

Lösung

erweitern

(cos (θ) (x) + sin (θ) (y))^{2}

x^{2} cos^{2} (θ) + y^{2} sin^{2} (θ) + x y sin (2 θ)

Schritte zur Lösung

(cos (θ) (x) + sin (θ) (y))^{2}

Vereinfache

cos (θ) (x) + sin (θ) (y) : cos (θ) x + sin (θ) y

= (cos (θ) x + sin (θ) y)^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(cos (θ) x + sin (θ) y)^{2} = (cos (θ) x)^{2} + 2 cos (θ) x sin (θ) y + (sin (θ) y)^{2}

= (cos (θ) x)^{2} + 2 cos (θ) x sin (θ) y + (sin (θ) y)^{2}

Vereinfache

(cos (θ) x)^{2} + 2 cos (θ) x sin (θ) y + (sin (θ) y)^{2} : x^{2} cos^{2} (θ) + y^{2} sin^{2} (θ) + x y sin (2 θ)

= x^{2} cos^{2} (θ) + y^{2} sin^{2} (θ) + x y sin (2 θ)

e x p an d \frac{( x - 4 ) n}{( 5 n ) !}

s im pl i f y 1 + \frac{3 k c}{( s + 3 ) ( s + 1 ) ( 0.5 s + 1 )}

s im pl i f y 142 + \frac{142 ( x - 142 )}{284}

e x p an d 14 - (27)

e x p an d \frac{( 3 - x ) ( 10 + 11 x )}{( 3 - 11 x ) ( 8 + 11 x )}