Commerce Exam > Commerce Videos > Mathematics (Maths) Class 11 > Polar Representation of a Complex Number- 1
Polar Representation of a Complex Number- 1 Video Lecture | Mathematics (Maths) Class 11 - Commerce
|
75 videos|238 docs|91 tests
|
FAQs on Polar Representation of a Complex Number- 1 Video Lecture - Mathematics (Maths) Class 11 - Commerce
| 1. What is the polar representation of a complex number? |  |
Ans. The polar representation of a complex number is a way to express a complex number in terms of its magnitude and angle. It is represented as r(cosθ + isinθ), where r is the magnitude or modulus of the complex number, and θ is the angle or argument of the complex number.
| 2. How do you convert a complex number to polar form? | |
Ans. To convert a complex number to polar form, you can use the following steps:
1. Find the magnitude (r) of the complex number using the formula r = √(real^2 + imaginary^2).
2. Find the angle (θ) of the complex number using the formula θ = atan2(imaginary, real).
3. Write the complex number in polar form as r(cosθ + isinθ).
| 3. How do you convert a complex number in polar form to rectangular form? | |
Ans. To convert a complex number in polar form to rectangular form, you can use the following steps:
1. Identify the magnitude (r) and angle (θ) of the polar form.
2. Use the formula real = r * cos(θ) to find the real part.
3. Use the formula imaginary = r * sin(θ) to find the imaginary part.
4. Write the complex number in rectangular form as real + imaginaryi.
| 4. What is the significance of the angle in the polar representation of a complex number? | |
Ans. The angle in the polar representation of a complex number represents the direction or orientation of the complex number in the complex plane. It provides information about the phase or rotation of the complex number. The angle is important in understanding the behavior of complex numbers in various mathematical operations, such as multiplication, division, and exponentiation.
| 5. How do you find the principal argument of a complex number in polar form? | |
Ans. The principal argument of a complex number in polar form is the principal value of its angle, which lies between -π and π. To find the principal argument, you can use the atan2 function in most programming languages, which takes the imaginary and real parts of the complex number as inputs and returns the angle in the desired range.
Related Exams
About this Video
|
4.80/5 Rating |
|
Dec 22, 2024 Last updated |
Video Description: Polar Representation of a Complex Number- 1 for Commerce 2024 is part of Mathematics (Maths) Class 11 preparation.
The notes and questions for Polar Representation of a Complex Number- 1 have been prepared according to the Commerce exam syllabus.
Information about Polar Representation of a Complex Number- 1 covers all important topics for Commerce 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Polar Representation of a Complex Number- 1.
Introduction of Polar Representation of a Complex Number- 1 in English is available as part of our Mathematics (Maths) Class 11 for Commerce & Polar Representation of a Complex Number- 1 in
Hindi for Mathematics (Maths) Class 11 course. Download more important topics related with notes, lectures and mock test series for
Commerce Exam by signing up for free.
Description
Video Lecture & Questions for Polar Representation of a Complex Number- 1 Video Lecture | Mathematics (Maths) Class 11 - Commerce - Commerce full syllabus preparation | Free video for Commerce exam to prepare for Mathematics (Maths) Class 11.
Information about Polar Representation of a Complex Number- 1
Here you can find the meaning of Polar Representation of a Complex Number- 1 defined & explained in the simplest way possible.
Besides explaining types of Polar Representation of a Complex Number- 1 theory, EduRev gives you an ample number of questions to practice Polar Representation of a Complex Number- 1 tests,
examples and also practice Commerce tests.
|
75 videos|238 docs|91 tests
|
|
Explore Courses for Commerce exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Summary
,Extra Questions
,Free
,Important questions
,mock tests for examination
,Polar Representation of a Complex Number- 1 Video Lecture | Mathematics (Maths) Class 11 - Commerce
,Sample Paper
,Exam
,Polar Representation of a Complex Number- 1 Video Lecture | Mathematics (Maths) Class 11 - Commerce
,Viva Questions
,Semester Notes
,MCQs
,video lectures
,past year papers
,shortcuts and tricks
,study material
,practice quizzes
,Objective type Questions
,Previous Year Questions with Solutions
,Polar Representation of a Complex Number- 1 Video Lecture | Mathematics (Maths) Class 11 - Commerce
,ppt
;
Study Polar Representation of a Complex Number- 1 on the App
Students of Commerce can study Polar Representation of a Complex Number- 1 alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Polar Representation of a Complex Number- 1,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Polar Representation of a Complex Number- 1 is prepared as per the latest Commerce syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup