erweitern cos(7(t-pi/6))U(t-pi/6)

Lösung

erweitern

cos (7 (t - \frac{π}{6})) U (t - \frac{π}{6})

t U cos (7 t - \frac{7 π}{6}) - \frac{π U cos ( 7 t - \frac{7 π}{6} )}{6}

Schritte zur Lösung

cos (7 (t - \frac{π}{6})) U (t - \frac{π}{6})

= U cos (7 (t - \frac{π}{6})) (t - \frac{π}{6})

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = cos (7 (t - \frac{π}{6})) U, b = t, c = \frac{π}{6}

= cos (7 (t - \frac{π}{6})) U t - cos (7 (t - \frac{π}{6})) U \frac{π}{6}

= t U cos (7 (t - \frac{π}{6})) - \frac{π}{6} U cos (7 (t - \frac{π}{6}))

Vereinfache

t U cos (7 (t - \frac{π}{6})) - \frac{π}{6} U cos (7 (t - \frac{π}{6})) : t U cos (7 t - \frac{7 π}{6}) - \frac{π U cos ( 7 t - \frac{7 π}{6} )}{6}

= t U cos (7 t - \frac{7 π}{6}) - \frac{π U cos ( 7 t - \frac{7 π}{6} )}{6}

e x p an d (c^{2} - 3 b d + 12 a e)^{3}

e x p an d (x y cosh (x) + y sinh (x)) d x

e x p an d \frac{x ^{2} - 52 x + 33}{( 1 - x ) ( 2 x - 1 ) ( x - 5 )}

e x p an d \frac{2 r ^{2} + 2 a ^{2}}{( r + a ) ^{2} ( r - a ) ^{2}}

s im pl i f y e^{π (b - in)} - e^{- π (b - in)}