FrancoisL313812 FrancoisL313812
  • 03-11-2022
  • Mathematics
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When a complex number is written in its polar form, z = r (cose + isine), theangle e is called the "argument"of _____

When a complex number is written in its polar form z r cose isine theangle e is called the argumentof class=

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GurkiratS96949 GurkiratS96949
  • 03-11-2022

Solution

When a complex number is written in its polar form, z=r(cos theta + i sin theta) , the angle theta is called the "argument" of z.

two same ways:

1.Geometrically, in the complex plane, as the angle from the positive real axis to the vector representing z. The numeric value is given by the angle in radians and is positive if measured counterclockwise.

2. Algebraically, as any real quantity such that

So, when the complex number is written in its polar form, the angle is called the argument of z.

Answer

"argument" of z.

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