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Learn Argument of Complex Numbers with Vedantu
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The complex number a + bi is a number that can be represented in the form a + bi, where a is the real part and bi is the imaginary part. The complex number a + bi can be represented in the form a + bi, where a is the real part and bi is the imaginary part. The complex number a + bi can be represented in the form a + bi, where a is the real part and bi is the imaginary part. The complex number a + bi can be represented in the form a + bi, where a is the real part and bi is the imaginary part.
What is A Complex Number?
A complex number is a number that can be expressed in the form a+bi, where a and b are real numbers and i is the imaginary unit.
What is the Argument of Complex Numbers?
The argument of a complex number is the angle, in radians, between the positive real axis and the vector from the origin to the complex number.
How to Find Arguments of A Complex Number?
The arguments of a complex number are the real and imaginary parts of the number. To find the arguments of a complex number, divide the real part by the imaginary part.
Argument of Complex Number Examples
The following are examples of how to use the argument of a complex number.
1. Find the argument of 2 + 3i.
The argument of 2 + 3i is 3.
Solved Example
Q. The average of 5 numbers is 36. What is the 5th number?
The 5th number is 42.
Complex Numbers
The complex number system is a mathematical structure that extends the real number system to include a new type of number, called a complex number. A complex number is a number that can be expressed in the form a+bi, where a and b are real numbers and i is the imaginary unit.
The complex number system is important in mathematics and physics because it allows us to model certain complicated physical phenomena. For example, the motion of a particle in a two-dimensional plane can be described by a complex equation. Complex numbers also arise in the study of electrical networks and quantum mechanics.
What Does the Argument of Complex Numbers Mean?
Complex numbers are a mathematical concept that allow for the representation of numbers that cannot be expressed using real numbers. A complex number is composed of a real number component and an imaginary number component. The real number component is the part that can be expressed in terms of the standard real number system, while the imaginary number component is a number that is expressed in terms of the square root of negative one.
