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welcome back to lockdown math today we are going to be talking about Eulers formula and just to give you a little sense of where were going to be ending up with this lesson Im gonna go ahead and show you what were aiming for at the end which is a certain visualization so I dont expect you to necessarily understand this immediately but the point is that this is something were going to walk towards what were going to analyze is an extension of the idea of Exponentials in a way that works in the complex plane and the illustration that youre looking at is showing very literally what the claim of Eulers formula is because what I want you to appreciate is what the actual statement says rather than letting it be shrouded in a certain mystery or a certain question of what the conventions are now needless to say this is kind of a confusing thing weve got this spiral of vectors and if its not entirely clear dont worry about it I just want to give you a little sense of where were go