Where does Euler's Formula come from?
Euler's Formula is: eix = cos(x) + isin(x)
This identity comes from the Maclaurin expansion of the exponential function. The resulting maclaurin series is a power series in x with odd terms having a factor of i. Seperating the odd and even terms, the odd terms give isin(x) and the even terms give cos(x).
LK
Answered by Luke K. • Further Mathematics tutor
6875 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸How do I find the vector/cross product of two three-dimensional vectors?
Could you explain to me how proof by induction works?
z = 4 /(1+ i) Find, in the form a + i b where a, b belong to R, (a) z, (b) z^2. Given that z is a complex root of the quadratic equation x^2 + px + q = 0, where p and q are real integers, (c) find the value of p and the value of q.
Prove by induction the sum of the natural numbers from 1 to n is n(n+1)/2