asked 28.3k views
4 votes
For a complex number written in polar form, its representation is unique as long as the argument is restricted to [0,2pi).?

true or false

asked
User Solvemon
by
8.7k points

2 Answers

7 votes

Answer:

TRUE

Explanation:

Its just the way is is

answered
User Sandra K
by
8.6k points
3 votes

Answer:

False

Explanation:

i = (1, π/2) = (-1, 3π/2) . . . . the same complex number written 2 ways in polar form.

_____

The representation is unique if the "radius" is required to be positive.

answered
User Evgeniy Kuzmin
by
9.1k points