erweitern cos(5(t-pi/6))U(t-pi/6)

Lösung

erweitern

cos (5 (t - \frac{π}{6})) U (t - \frac{π}{6})

t U cos (5 t - \frac{5 π}{6}) - \frac{π U cos ( 5 t - \frac{5 π}{6} )}{6}

Schritte zur Lösung

cos (5 (t - \frac{π}{6})) U (t - \frac{π}{6})

= U cos (5 (t - \frac{π}{6})) (t - \frac{π}{6})

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = cos (5 (t - \frac{π}{6})) U, b = t, c = \frac{π}{6}

= cos (5 (t - \frac{π}{6})) U t - cos (5 (t - \frac{π}{6})) U \frac{π}{6}

= t U cos (5 (t - \frac{π}{6})) - \frac{π}{6} U cos (5 (t - \frac{π}{6}))

Vereinfache

t U cos (5 (t - \frac{π}{6})) - \frac{π}{6} U cos (5 (t - \frac{π}{6})) : t U cos (5 t - \frac{5 π}{6}) - \frac{π U cos ( 5 t - \frac{5 π}{6} )}{6}

= t U cos (5 t - \frac{5 π}{6}) - \frac{π U cos ( 5 t - \frac{5 π}{6} )}{6}

e x p an d \frac{11}{10} 3 - 73

e x p an d \frac{x ^{3}}{( x - 4 ) ^{2}}

e x p an d 72 - 2 b (32 + 82 b + b)

e x p an d \frac{x + 2}{4 ( x - 3 )}

s im pl i f y (- 3 x \circ x^{2} + 3 x) (- 2)