Classify the following functions as even, odd, or neither.
(a) cos (2?t) tri (t ? 1)
(b) sin (2?t) rect (t / 5)
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(a) Neither
Cosine is even but the shifted triangle is neither even nor odd which means it has a non-zero even part and a non-zero odd part. So the product also has a non-zero even part and a non-zero odd part.
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Odd
Sine is odd and rectangle is even. Therefore the product is odd.
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