vereinfachen 2e^{-i(t+pi/4)}

Lösung

vereinfachen

2 e^{- i (t + \frac{π}{4})}

2 cos (\frac{- π - 4 t}{4}) + 2 i sin (\frac{- π - 4 t}{4})

Schritte zur Lösung

2 e^{- i (t + \frac{π}{4})}

e^{- i (t + \frac{π}{4})} = cos (\frac{- 4 t - π}{4}) + i sin (\frac{- 4 t - π}{4})

= 2 (cos (\frac{- 4 t - π}{4}) + i sin (\frac{- 4 t - π}{4}))

Schreibe

2 (cos (\frac{- 4 t - π}{4}) + sin (\frac{- 4 t - π}{4}) i)

in der Standard komplexen Form um:

2 cos (\frac{- 4 t - π}{4}) + 2 sin (\frac{- 4 t - π}{4}) i

= 2 cos (\frac{- 4 t - π}{4}) + 2 sin (\frac{- 4 t - π}{4}) i

e x p an d 7 (x + 1 = 2 x + 57)

e x p an d 20 + 8 (q - 11 = - 12)

e x p an d co nj ug a d o (2 i) (1 + i)

e x p an d - 2 (- 7 x + 3 y = - 30)

e x p an d \frac{2 x ^{2} + 8 x + 3}{( x + 1 ) ^{3}}