Complex Numbers - Exponential Form Examples : ExamSolutions Maths Tutorials

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Example questions of complex numbers in exponential form
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[@No-way-way]

On the last example, would it be considered correct to write the answer as: 4e^(-i*pi/3 + 2*pi*n) ?

[@pervez252]

Excellent explanation with good examples

[@imashavithanage5179]

I didn't understand it at all when we were taught this at schl. But this video of yours cleared all my doubts. Thank you sm.

[@hasanseblany3038]

Amazing explanation, thanks for the help

[@ExamSolutions_Maths]

Look under the first section on trigonometry for whatever module you are doing on my website. You will see a link there. Sorry but UA-cam prevents me from putting the link in here.

[@ExamSolutions_Maths]

The angle between the positive real axis and the complex number z. Check out this topic on my website. Not my UA-cam channel.

[@tejasverbeeponee6322]

can you make 1 video on finding least or max arg and modulus

[@user-qb4fm5tk6y]

Really appreciated this video. I was given an engineering mathematics assignment on complex number but I was found very difficult to understand what really meant. When I looked at this video, it really helped me understand more about that.
Thanks for the amazing video with excellent explanation ❤️🙏..
I am very happy to watch another video about any math units from you 😊❤

[@firaselnaeem9627]

Amazing explanation thanks for help 😊

[@alecbaldwin4013]

Thank you!!

[@kreiya2966]

that was very helpful, thank you so much :)

[@reubenwilliammpembe667]

Thank you Sir you are the best
#Respect
#FromSouthAfrica

[@ExamSolutions_Maths]

All the best to you from the UK

[@yusufolajire8399]

Thank You for this

[@samuelngure7780]

Good work 👍

[@aah90]

If you where to show 5e^ i 2 pi / 3 in an Argand diagram, how would you have done it?

[@dinithisahanika7823]

turn it to polar form first,here r=5,theta=pi/3,then solve it and find out the answer

[@teeshtahseesurrun8280]

thank you 😊🙏

[@user-pg9tw9gh7x]

Thank you very much bro

[@user-xm1om1rl5p]

Thank you very much

[@zaynabs11]

Thank you so much sir 😭😭🫶

[@Raphae_ll]

2:26 how did you get the 60 degrees

[@SibongileMolefe-ku4zs]

on the first one isn't it that arg tan = -sqrt3/-1 where in actual fact the negatives will cancel and plus on the third quadrant tan is positive ,won't we leave theta which is our ref angle as pi/3 ?

[@rajrahul1706]

Thank you Sir
For my help .

[@ExamSolutions_Maths]

That's okay. Best wishes

[@semisipasikala3349]

Q.1) why not taking the 180 + 60 degree which is 4pi/3 ? it should be negative sign like -2pi/3 ?

[@dinithisahanika7823]

both are correct

[@nombulelomqoteni3980]

"arg of z'' is short for the argument of z

[@mackyjoemackenzie3710]

yes

[@Light_roshan1]

@@mackyjoemackenzie3710 after 8 years..,🤔

[@avianshuman10]

@@Light_roshan1 9*🙋‍♂️

[@paksktvlogs2155]

10😅

[@funone0015]

in example 1 is it ok to use the positive arg of 4pi/3?

[@dinithisahanika7823]

yes

[@aureliayeni1772]

Please help to solve
Exponensial z= square root of 7?

[@stimulantdaimamld2099]

great

[@kariakistephen508]

Even if its 9years a ago thanks so much

[@animegame4204]

pls sir for question 1, why is it pi minus the reference angle

[@dinithisahanika7823]

when you take angle clockwise ,it is minus.when you take it anti-clockwise it is plus. both are correct.

[@joycechimwaya226]

Why are you using the principal argument instead of the argument?

[@gilesrobinson4066]

Great video

[@ExamSolutions_Maths]

Glad you enjoyed it

[@davidliu3463]

thanks a lot from 11years later

[@pixtogamer]

So in my textbook cos 60 was changed to π/4 .... The problem is I don't know how to make these changes
Are there constants or is there any trick to know them?

[@ehabzaidi3525]

π=180⁰ always. So π/4 = 45⁰ and cos 45 is not equal to cos 60. There must be some mistake from your side while reading the question . Also if you want to convert sine to cos or vice versa just use the following
Sin x = cos (90-x) 《Also equal to (cos π/2 - x)
Cos x = sin (90-x)
Tan x = cot (90-x)
Just learn the trigo unit circle to have a clear understanding of conversions

[@StenTarvo]

@@ehabzaidi3525 I finally understand the use of the unit circle now. Thanks a bunch.

[@user-gv6jm9yb9s]

Why is there negative outside the bracket

[@P3tt3r_09]

just remember you can either stick ''i'' at the front or at the back 6:03

[@abdulaisumaila8438]

I will graduate with first class through your lectures 😅😅

[@meenakshikhanna2577]

Thank you

[@ExamSolutions_Maths]

That's okay.

[@valsan1323]

1:00 - 4:15

[@user-up1vc7bc1c]

Please why cos teta = cos(-teta)
sin teta = -sin(-teta)

[@SmartNjeru]

Why am i not getting root 3/2

[@vighnesrajveeresh9745]

Try changing your calculator to radian mode.

[@user-gv6jm9yb9s]

Why is there negative outside the bracket