Question

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 _____.

Answer 1

when the complex number is written in its polar form, the angle
`{\theta}` is called the argument of z.

Explanation:

An argument of the complex number z = x + iy, denoted arg(z), is defined in two same ways:

1.Geometrically, in the complex plane, as the angle
`{\theta}` 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
`{\theta}` such that

`z=r(cos{\theta}+isin{\theta})`

So, when the complex number is written in its polar form, the angle
`{\theta}` is called the argument of z.

Answer 2

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. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.