COMPLEX NUMBERS
Complex numbers are the numbers that are expressed in the form of a+ib where, a,b are real numbers and ‘i’ is an imaginary number called “ iota” . The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im). Combination of both the real number and imaginary number is a complex number . Examples of complex numbers: 1 + j -1 3 – 3i 0.89 + 1.2 i √5 + √2i An imaginary number is usually represented by ‘i’ or ‘j’, which is equal to √-1. Therefore, the square of the imaginary number gives a negative value. Since, i = √-1, so, i 2 = -1 The main application of these numbers is to represent periodic motions such as water waves, alternating current, light waves, etc., which rely on sine or cosine waves, etc. Table of Contents: Definition Absolute Value Algebraic Operations Formulas Power of Iota Identities Properties Modulus and Conjugate Argand Plane and Polar Re...