How do you show that #e^(-ix)=cosx-isinx#?
Jul 9, 2018
You can prove this using Taylor’s/Maclaurin’s Series.
First write out the identities in Taylor’s Series for
Usually to prove Euler’s Formula you multiply
And we will end with
And the first part of the equation is equal to
And expand to find…
What is The Trigonometric Form of Complex Numbers?
How do you find the trigonometric form of the complex number 3i?
How do you find the trigonometric form of a complex number?
What is the relationship between the rectangular form of complex numbers and their corresponding…
How do you convert complex numbers from standard form to polar form and vice versa?
How do you graph #-3.12 – 4.64i#?
Is it possible to perform basic operations on complex numbers in polar form?
What is the polar form of #-2 + 9i#?
What is #2(cos330+isin330)#?
How do you find the standard notation of #5(cos 210+isin210)#?
See all questions in The Trigonometric Form of Complex Numbers
Impact of this question
around the world
Creative Commons License
Hi. I’m a junior in high school and this is a challenge problem that I was assigned for my Analysis class. We are allowed to use absolutely any sources to solve and understand it. Here it is:Given: eix = cosx + isinx
Thank you very much for your time. I look forward to hearing from you.
Here is a start.