The principal argument of the complex number -1 + 3j is
2 pi/3
-2pi/3
pi/3
-pi/3
The complex number 3(cos 5pi/6 +i sin 5pi/6) is equal to
-3sqrt(3)/2 + i 3/2
3/2 - 3srt(3)/2 i
-3/2 +3sqrt(3)/2 i
3sqrt(3)/2 - 3/2 i
1+2i /4 Re Im The bold half-line in the diagram above shows the set of points z for which
arg(1-2i) = arg(z-1-2i)=
arg(z-1 -2i) = pi/4
arg(z+1+2i) = pi/4
arg(z+1+2i) = -pi/4
The modulus and principal argument of the complex number z= -2(exp(-ia )) (where 0 < a = p/2) are, respectively,
2,-a
-2,-a
-2,a
2,a
Complex numbers include imaginary numbers and what other set?
rational
real
positive
irrational
Can you graph imaginary numbers?
yes
no
if its rational only
if its positive only