Even and odd parts. (a) ( Show that the product of two odd signals is even. (b) ( | Show that the product of an even signal and an odd signal is odd. (c) ( ! Use the properties derived in the previous parts to find the even and odd component of: x(t) = 1+t cos(t) +t sin(t) +t sin(t) cos(t)

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Even and odd parts.
(a) {
Show that the product of two odd signals is even.
(b) (
| Show that the product of an even signal and an odd signal is odd.
(c) (
! Use the properties derived in the previous parts to find the even and odd
component of:
x(t) = 1+t cos(t) + t sin(t) + t° sin(t) cos(t)
COS
Transcribed Image Text:Even and odd parts. (a) { Show that the product of two odd signals is even. (b) ( | Show that the product of an even signal and an odd signal is odd. (c) ( ! Use the properties derived in the previous parts to find the even and odd component of: x(t) = 1+t cos(t) + t sin(t) + t° sin(t) cos(t) COS
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