erweitern 4sin(100t-10)u(t-0.1)

Lösung

erweitern

4 sin (100 t - 10) u (t - 0.1)

4 t u sin (100 t - 10) - 0.4 u sin (100 t - 10)

Schritte zur Lösung

4 sin (100 t - 10) u (t - 0.1)

= 4 u sin (100 t - 10) (t - 0.1)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

4 u sin (100 t - 10) (t - 0.1) = 4 u sin (100 t - 10) t - 4 u sin (100 t - 10) \cdot 0.1

= 4 u sin (100 t - 10) t - 4 u sin (100 t - 10) \cdot 0.1

Vereinfache

4 u sin (100 t - 10) t - 4 u sin (100 t - 10) \cdot 0.1 : 4 t u sin (100 t - 10) - 0.4 u sin (100 t - 10)

= 4 t u sin (100 t - 10) - 0.4 u sin (100 t - 10)

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