How do you show that e^(-ix)=cosx-isinx?
1 Answer
Jul 9, 2018
You can prove this using Taylor's/Maclaurin's Series.
Explanation:
First write out the identities in Taylor's Series for
Usually to prove Euler's Formula you multiply
And we will end with
Expand...
Factorise it...
And the first part of the equation is equal to
And expand to find...
Tada, proof...