Guess the Periodic Signal

1. $ x(t)\! $ is real and even
2. $ x(t)\! $ is periodic with period $ T=4\! $
3. $ a_0=3\! $
4. $ -3<=x<=3\! $

Solution

$ x(t)=3cos(\frac{\pi}{2}t)\! $

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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett