MYTUTOR SUBJECT ANSWERS

180 views

What is De Moivre's theorem?

In complex number ( especially for any real number) x and integer n it holds that

(cos(x) + i(sinx))^n = cos(n*x) + isin(n*x) where i is the imaginary unit representing as i*i = -1.

This is called  De Moivre's theorem.

This theorem can be proved by Euler's theorem which states 

e^(i*x) = cos(x) + isin(x)

then

(e^(i*x))^n = (cos(x) + isin(x))^n which equals to

e^(i*x*n) = cos(n*x) + isin(n*x)

resulting to

 (cos(x) + isin(x))^n = cos(n*x) + isin(n*x)

BARUN S. A Level Further Mathematics  tutor, GCSE Further Mathematics...

5 months ago

Answered by BARUN, an A Level Further Mathematics tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

62 SUBJECT SPECIALISTS

£20 /hr

Elena S.

Degree: Mechanical Engineering MEng (Masters) - Imperial College London University

Subjects offered: Further Mathematics , Physics+ 3 more

Further Mathematics
Physics
Maths
Chemistry
Biology

“I am currently studying Mechanical Engineering at Imperial College London. This comes out of my passion for forming real life solutions to problems and love of problem solving. It’s this that inspires my tutoring also. Throughout univ...”

MyTutor guarantee

£20 /hr

Maisie J.

Degree: Mathematics (G100) (Bachelors) - Warwick University

Subjects offered: Further Mathematics , Maths

Further Mathematics
Maths

“Hi! My name is Maisie and I'm studying Mathematics at Warwick University. My aim is to share my passion of maths with my students and to boost my students' self-confidence and self-esteem.  I am friendly, patient and I will adapt the ...”

MyTutor guarantee

£20 /hr

Alexandra L.

Degree: Aeronautical and Aerospace Engineering (Bachelors) - Leeds University

Subjects offered: Further Mathematics , Physics+ 2 more

Further Mathematics
Physics
Maths
Chemistry

“About Me I’m an Aerospace Engineering student at Leeds University. I have long loved tinkering and seeing how things work; to me, science is just the formal extension of this curiosity. Throughout sixth form I helped run the school ...”

About the author

£20 /hr

BARUN S.

Degree: Global Executive MBA (Masters) - LSE University

Subjects offered: Further Mathematics , .STEP.

Further Mathematics
.STEP.

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

MyTutor guarantee

You may also like...

Other A Level Further Mathematics questions

How do I use proof by induction?

If a car of mass 1000kg travels up a slope inclined at 5 degrees at a speed of 20 meters per second calculate the power output of the car's engine (assuming a resistive force due to friction of 500N)

How to determine the modulus of a complex number?

What modules have you done before?

View A Level Further Mathematics tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok