
Find the modulus and argument of the complex number hence convert it into polar form.
Answer
514.8k+ views
Hint:
Complex number is a number generally represented as , where and is real number represented on real axis whereas is an imaginary unit represented on imaginary axis whose value is . Modulus of a complex number is length of line segment on real and imaginary axis generally denoted by whereas angle subtended by line segment on the real axis is the argument of the matrix denoted by arg (z) calculated by trigonometric value. Argument of complex numbers is denoted by .
Complete step by step solution:
The given complex number in question can be written as , where and
Here the modulus of complex number will be
Hence, the modulus of the complex number will be 2.
Argument of the complex:
This can be written in radian as:
Note:
Complex numbers are always written in the form of where and are real numbers whereas is an imaginary part.
We can convert a degree into radian by multiplying it by .
Complex number is a number generally represented as
Complete step by step solution:
The given complex number in question can be written as
Here the modulus of complex number
Hence, the modulus of the complex number will be 2.
Argument of the complex:
This can be written in radian as:
Note:
Complex numbers are always written in the form of
We can convert a degree into radian by multiplying it by
Latest Vedantu courses for you
Grade 6 | CBSE | SCHOOL | English
Vedantu 6 Pro Course (2025-26)
School Full course for CBSE students
₹45,300 per year
Recently Updated Pages
Master Class 12 Biology: Engaging Questions & Answers for Success

Class 12 Question and Answer - Your Ultimate Solutions Guide

Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Trending doubts
Which are the Top 10 Largest Countries of the World?

Why is insulin not administered orally to a diabetic class 12 biology CBSE

a Tabulate the differences in the characteristics of class 12 chemistry CBSE

Why is the cell called the structural and functional class 12 biology CBSE

The total number of isomers considering both the structural class 12 chemistry CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
