Complexes

Question 1

_

Z =

Answer 1

a - bi

Question 2

z =

Answer 2

a + bi

r( cos(x) + i sin(x) )

Question 3

e^ix =

Answer 3

cos(x) + i sin(x)

Question 4

r =

Answer 4

IzI = sqrt (a^2 + b^2)

Question 5

z z =

1 2

Answer 5

r r ( cos(x+y) + i sin(x+y) )
 1 2

Question 6

Z1 / Z2 =

Answer 6

R1 / R2 ( cos(x-y) + i sin(x-y) )

Question 7

1/z =

Answer 7

1/r (cos(x) + i sin(x) )

Question 8

Z^n =

Answer 8

R^n ( cos(nx) + i sin (nx) )

Question 9

_____

z + n =

Answer 9

z - n