A complex number [tex]\( z \)[/tex] can be represented in its polar form as [tex]\( z = r(\cos \theta + i \sin \theta) \)[/tex]. In this form,:
- [tex]\( \theta \)[/tex] is the argument of the complex number, representing the angle made with the positive real axis.
- [tex]\( r \)[/tex] is the non-negative number representing the distance of the complex number from the origin in the complex plane.
This non-negative number [tex]\( r \)[/tex] is known as the magnitude (or modulus) of the complex number. It essentially measures the "size" or "length" of the vector representing the complex number.
Thus, the correct term for the non-negative number [tex]\( r \)[/tex] in the polar form of a complex number is the magnitude.
