vereinfachen (1+kcos^2(w))*e^{-iwt}

Lösung

vereinfachen

(1 + k cos^{2} (w)) \cdot e^{- i wt}

(cos (wt) + k cos (wt) cos^{2} (w)) + i (- sin (wt) - k sin (wt) cos^{2} (w))

Schritte zur Lösung

(1 + k cos^{2} (w)) e^{- i wt}

e^{- i wt} = cos (wt) - i sin (wt)

= (k cos^{2} (w) + 1) (cos (wt) - i sin (wt))

Schreibe

(1 + k cos^{2} (w)) (cos (wt) - i sin (wt))

in der Standard komplexen Form um:

(cos (wt) + k cos (wt) cos^{2} (w)) + (- sin (wt) - k sin (wt) cos^{2} (w)) i

= (cos (wt) + k cos (wt) cos^{2} (w)) + (- sin (wt) - k sin (wt) cos^{2} (w)) i

e x p an d x (3 + Δ y, 4)

e x p an d \frac{1}{3} (50 ln (5) - 24)

e x p an d \frac{( 2 x ^{2} - 8 x + 8 ) ( x + 3 )}{x + 6}

e x p an d x (x^{2} - 1)^{3} d z

e x p an d (x + 2 π) (x - 2 π)