erweitern cos(2pift)(Amcos(2pift)+αw)

Lösung

erweitern

cos (2 \cdot π \cdot f \cdot t) (A \cdot m \cdot cos (2 \cdot π \cdot f \cdot t) + α w)

A m cos^{2} (2 π f t) + w α cos (2 π f t)

Schritte zur Lösung

cos (2 π f t) (A m cos (2 π f t) + α w)

= cos (2 π f t) (A m cos (2 π f t) + w α)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = cos (2 π f t), b = A m cos (2 π f t), c = α w

= cos (2 π f t) A m cos (2 π f t) + cos (2 π f t) α w

= A m cos (2 π f t) cos (2 π f t) + w α cos (2 π f t)

A m cos (2 π f t) cos (2 π f t) = A m cos^{2} (2 π f t)

= A m cos^{2} (2 π f t) + w α cos (2 π f t)

e x p an d (2 + i)^{4}

e x p an d (2 + i)^{3}

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

e x p an d x^{\frac{3}{2}} \cdot (2 x^{2} + x - 1)

e x p an d (2 + x) (3 - 3)