- #1
apw235
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Homework Statement
The function [tex]\delta(cosx)[/tex] can be written as a sum of Dirac delta functions:
[tex]\delta(cosx)=\sum_{n} a_{n}\delta(x-x_{n})[/tex]
Find the range for n and the values for [tex]a_{n}[/tex] and [tex]x_{n}[/tex]
The Attempt at a Solution
Well, taking the integral of [tex]\delta(cosx)[/tex], we only get spikes when x is an even multiple of [tex]\frac{\pi}{2}[/tex]. So shouldn't n run to infinity? Thats all i have so far, any help would be appreciated. thanks.
-Adrian