Complex Numbers - Exponential Form or Euler's Form | ExamSolutions Maths Revision Tutorials

In this video you are shown how to express a complex number of the form z=r(cos θ + i sin θ ) in the form z=re^(iθ) This is often called the exponential form or Euler's form of a complex number.
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[@reman3000]

that turned out to be bloody brilliant at the end! i wonder how the person who discovered this pattern must've felt. the difference between the first two forms is simple to understand, but it must've been an utterly euphoric feeling to simply sub in i theta for x, and find that you've proven interchangeability for a third!
thanks for this clear and concise explanation. beautiful!

[@romualdkuciara1299]

I was looking for this explanation all over UA-cam. Thank you very much for presenting it so clearly here.

[@joshuaxjoseph]

thank you so much!!

[@sijiahuang6936]

Very clear!

[@benjahnz]

Clear and concise.

[@PauloChacal]

Very clear. Thank you

[@mathlearner6789]

Brilliantly explained!!!

[@Curious65]

Amazing proof of what I was looking for
How sin and cos come in exponential function formula
Thank you so much 💞💞

[@mpendulomasuku6956]

Beautiful!!

[@Ratrika123]

Thank you very much sir

[@addictionforphysics8509]

Really nice explanation sir

[@ExamSolutions_Maths]

Thank you

[@hussenkedir635]

Please I need different challeging quastions to be done for me!

[@rockerz7572]

Really mesmerized by the result at the end!
Subscribed.....

[@mrboyban]

Amazing ! Thank you.

[@ExamSolutions_Maths]

You're welcome. Thanks for watching.

[@bhattyash4096]

thanks

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Who is in 2024

[@mudassirjamal8276]

Still watching in 2021😍

[@12345mmmmas]

So Great

[@thisaldeshan810]

its very useful to my. thank you! :)

[@ExamSolutions_Maths]

That's okay - thanks for watching

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Who is here 2020👋

[@markcluley]

Twihaleni Alfeus 👋

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👋

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Cie in a week

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2023

[@umamahussain8937]

2024 hehe

[@muneebtahir]

Tomorrow is my exam and m listening these lectures at 2x speed...

[@s.rtuitiongurung2475]

Great

[@richardphillips2405]

Great video. I'm new to this. Is Theta IN degrees or radians? Can I actually work this out using Theta in the form of degrees or radians?

[@dhanashrichaudhari3539]

Radians , if have in degrees convert to radians

[@sid4931]

Is this for year 1 further math?

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[@umamahussain8937]

pakistan

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[@foxxfx]

Great explanation, but man... who writes "x"s that way? Who hurt you?

[@abdullahhashim3001]

2022✊🏾