erweitern sin(t)U(t-(3pi)/2)

Lösung

erweitern

sin (t) U (t - \frac{3 π}{2})

t U sin (t) - \frac{3 π U sin ( t )}{2}

Schritte zur Lösung

sin (t) U (t - \frac{3 π}{2})

= U sin (t) (t - \frac{3 π}{2})

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = sin (t) U, b = t, c = \frac{3 π}{2}

= sin (t) U t - sin (t) U \frac{3 π}{2}

= t U sin (t) - \frac{3 π}{2} U sin (t)

Vereinfache

t U sin (t) - \frac{3 π}{2} U sin (t) : t U sin (t) - \frac{3 π U sin ( t )}{2}

= t U sin (t) - \frac{3 π U sin ( t )}{2}

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