I found this page on PlanetMath that uses Euler's formula.
Hello everyone,
I hope this advanced enough to be in this section.
I am doing a math project, and at the moment I am confronted with this expression:
∏_(y=1)^(n-1) 2 (a^(1/n) sin(yπ/n)) [capital pi y=1 -> n-1]
I know from Wolfram|Alpha (see link) that this is equal to:
n*a^((n-1)/n).
However I want to be able to show this manually, and I have no idea of how to approach the task at hand.
Can someone please explain the steps involved to get to the answer above?
Thank you very much.