erweitern cos(8(t-pi/4))h(t-pi/4)

Lösung

erweitern

cos (8 (t - \frac{π}{4})) h (t - \frac{π}{4})

t h cos (8 t - 2 π) - \frac{πh cos ( 8 t - 2 π )}{4}

Schritte zur Lösung

cos (8 (t - \frac{π}{4})) h (t - \frac{π}{4})

= h cos (8 (t - \frac{π}{4})) (t - \frac{π}{4})

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = cos (8 (t - \frac{π}{4})) h, b = t, c = \frac{π}{4}

= cos (8 (t - \frac{π}{4})) h t - cos (8 (t - \frac{π}{4})) h \frac{π}{4}

= t h cos (8 (t - \frac{π}{4})) - \frac{π}{4} h cos (8 (t - \frac{π}{4}))

Vereinfache

t h cos (8 (t - \frac{π}{4})) - \frac{π}{4} h cos (8 (t - \frac{π}{4})) : t h cos (8 t - 2 π) - \frac{πh cos ( 8 t - 2 π )}{4}

= t h cos (8 t - 2 π) - \frac{πh cos ( 8 t - 2 π )}{4}

e x p an d \frac{1}{x ^{2}} + 4 \frac{1}{x} - 5

e x p an d \frac{x ^{2}}{s ( x + 2 ) ( x + 3 )}

e x p an d (8 x + 6) (8 x - 6)^{'}

e x p an d \frac{( p + 2 ) 2 + p x ^{5}}{10}

e x p an d e^{t} \cdot u (t - 8)