Trigonometric Form of a Complex Number

Introduction to Trigonometric Form of a Complex Number

The trigonometric form of a complex number z = a + bi is a way to express a complex number using modulus and argument. The modulus of a complex number z = a + bi is the distance of the point (a, b) from the origin in the complex plane, and the argument is the angle formed by the line segment from the origin to the point (a, b) with the positive real axis.

Parameter usage:

• a = real part of the complex number
• b = imaginary part of the complex number

Example valid values:

• a = 3
• b = 4

Output:

• modulus = modulus of the complex number
• argument = argument of the complex number (in radians)

Data validation:

The real and imaginary parts should be single numbers.

Summary

This formula provides a way to express a complex number in terms of its modulus and argument, making it easier to visualize and understand complex numbers in the complex plane.