erweitern 20i+15(cos(60i)+sin(60j))

Lösung

erweitern

20 i + 15 (cos (60 i) + sin (60 j))

15 sin (60 j) + 20 i + 15 cos (60 i)

Schritte zur Lösung

20 i + 15 (cos (60 i) + sin (60 j))

Wende das Distributivgesetz an:

a (b + c) = ab + a c

15 (cos (60 i) + sin (60 j)) = 15 cos (60 i) + 15 sin (60 j)

= 20 i + 15 cos (60 i) + 15 sin (60 j)

Rewrite in standard complex form:

15 sin (60 j) + 20 i + 15 cos (60 i)

= 15 sin (60 j) + 20 i + 15 cos (60 i)

e x p an d (2 + x) 9 - x^{2}

e x p an d (1 - cos (x))^{8}

e x p an d 4 x - (2 x + 3) (4 - 5 x) l e f t (11 x + 10 x^{2})

e x p an d \frac{1}{sin ( x ) ( 1 - cos ( x ) )}

e x p an d (3 e^{x} cos (x) - 3 e^{x} sin (x)) \cdot x