Question

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

Answer 1

the argument of z

Explanation:

r is the modulus of the complex number. it is the square root of the sum of the square in the Real and Imaginary axes. for instance, z = 2 - 5i would have modulus √(2² + (-5)²) = √29.

theta is the modulus of the complex number.

modulus for z = 2 - 5i, once drawn with 2 in positive real direction, and 5 in negative imaginary direction, will be arctan (5/2) = 1.19.