04 - How to Represent Complex Numbers in Polar Form

04 - Represent Complex Numbers in Polar Form
In this video we are going to represent a complex number in the rectangular of cartesian form to the polar form. We do that with the help of the argand diagram, this helps us to represent a complex number of a graph.
if Z = x + jy, then
Z = r [cos Ѳ + jsin Ѳ], thus
Z = r∠Ѳ
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[@user-lq3hl2gb5q]

Thank you for making this lovely video. I did learn a lot from it 😊

[@SkanCityAcademy_SirJohn]

Awww thanks so much

[@Joy-eq2hy]

thank you sir, I was just tensed about the argument values now its clear to me.

[@SkanCityAcademy_SirJohn]

oh great, its a nice expereince....

[@singularity8027]

You helped me a lot.Thank you bro

[@SkanCityAcademy_SirJohn]

Youre most welcome

[@KeepOnGoing503]

Well explained. Verryy helpful

[@SkanCityAcademy_SirJohn]

Thanks so much for your comment.

[@ronaldjohnson4470]

Very informative video, thank you.

[@SkanCityAcademy_SirJohn]

youre most welcome...

[@chisomosakala9470]

This was very helpful and clear.

[@SkanCityAcademy_SirJohn]

Thank you so much.

[@SkanCityAcademy_SirJohn]

where are you watching from me from?

[@innocentmudenda9690]

❤❤😊

[@SkanCityAcademy_SirJohn]

Thanks so much

[@user-um6ls6kj2t]

i think there was a bit of a mistake, if when finding the tan inverse you bring both the negative then you are going to rather subtract from 180 but if you ignore the signs then you"ll add to 180. try solving it with calculator and you"ll get theater to be 126.869...............i might be wrong but i believe you should check it.

[@SkanCityAcademy_SirJohn]

You are right in a way but you need some more clarification. The clarification is to define your reference point. If you are taking the +x axis as your reference point, then taking the anti-clockwise direction to the complex number means 180+53.13, however, your case, you are taking the clockwise direction, and that will be 180-53.13 like you say. So there is no mistake, it's just the direction one wishes to take. Eventually your answers should be the same.

[@mohamedazadabdulrahman3226]

Exponentiate complex numbers!

[@mutintasililo]

Thank u sir, you're a good teacher 🙏

[@SkanCityAcademy_SirJohn]

Thank you so so much, please were do you watch me from?

[@mutintasililo]

@@SkanCityAcademy_SirJohn from Zambia

[@SkanCityAcademy_SirJohn]

Thanks so much, I wish that you could join my telegram group for engineers and text me privately, I want to have contacts with other students from your country.
Will be glad if you can do that.

[@henryyeboah504]

Please for representing complex numbers in polar form what if the complex number is in the 2nd quadrant e.g ( -5+5i) how will you find the angle

[@SkanCityAcademy_SirJohn]

r = sqr of 5^2 + (-5)^2 = 7.071. for the angle. tan-1 = abs value of (5/5) = 45degrees. from positive x to negative x axis is 180. therefore from positive x to z is 180 - 45 = 135 degrees. hence -5+5i = 7.071 polar 135

[@henryyeboah504]

@@SkanCityAcademy_SirJohn what about that of (-Sqrt(6))-Sqrt(2)i

[@SkanCityAcademy_SirJohn]

Just follow how I did the first one for you

[@AdebisiAbdulsalam-ww6pj]

You seeing this video nd not subscribing means you have problem 😂😂

[@SkanCityAcademy_SirJohn]

Hehehe. Thanks so much

[@rainwilson2105]

calculators???? in complex analysis wow you guys are spoiled