Question

For a complex number written in polar form, its representation is unique as long as the argument is restricted to

Answer 1

False , because when the problem will be restricted to [0, 2) only, then there will be 2 polar points.

What is complex number explain with example?

• Complex numbers are the numbers that are expressed in the form of a+ ib where, a, b are real numbers and 'i' is an imaginary number called “iota”.
• The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).

In this question -

• The answer will be false because when the problem will be restricted to [0, 2) only, then there will be 2 polar points.

• The first r will be a positive, and the other r, of course, will be a negative.
• If the question has added a range where r is greater than zero (r > 0),this will be true because it only included the positive r.

Learn more about  Complex numbers

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The complete question is-

State True or false: As long as its argument is restricted to [0,2pi] the polar form of a complex number is unique.