From 14244b4506f772541be6b2289b2ace8651d0e7f1 Mon Sep 17 00:00:00 2001 From: Opheliar99 <> Date: Sun, 4 Jul 2010 04:12:05 +0000 Subject: posted solutions of 2 and 3 in pset2 --- Problem Set 2.page | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) (limited to 'Problem Set 2.page') diff --git a/Problem Set 2.page b/Problem Set 2.page index be65cd5..2d5a503 100644 --- a/Problem Set 2.page +++ b/Problem Set 2.page @@ -40,7 +40,9 @@ $\int_0^{2\pi} |\sin^2(x)|^2 dx = \sum |a_n|^2.$ 2. Since $\sin x = \frac{e^{ix}-e^{-ix}}{2}$, -$\sin^4 x = \frac{{( e^{ix}-e^{-ix} )}^4}{16}$, + + +$\sin^4 x = \frac{{( e^{ix}-e^{-ix} )}^4}{16}$ $= \frac{e^{i 4x}+e^{-i 4x}-4 e^{i 2x} -4 e^{-i 2x}+6}{16}$. If we express any periodic function $f(x)$ as -- cgit v1.2.3