P2.1 Let r(t) cos(,(t+ ) + 8,). (8) Determine the frequency in hertz and the period of r(t) for each of the follow- ing three cases: (1) /3 27 (ii) 3x/4 1/2 */4 (iii) 3/4 1/2 1/4

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P2.1
Let a(t) -
cos(@,(t + ) + 8,).
(a) Determine the frequency in hertz and the period of x(t) for each of the follow-
ing three cases:
(1)
/3
27
(ii)
3x/4
1/2
*/4
(iii)
3/4
1/2
1/4
(b) With r(t)= cos(a,(t +T,) + 8,) and y(t) sin(w,(t + ,) + 8,), determine for
which of the following combinations r(t) and y(t) are identically equal for all t.
Ty
(i)
/3
2
/3
-x/3
B/4
3/4
(i1)
1/2
/4
11r/4
3r/8
(ii1)
1/2
1/4
3/4
3/8
P2.2
Let rlul
Transcribed Image Text:Recommended Problems P2.1 Let a(t) - cos(@,(t + ) + 8,). (a) Determine the frequency in hertz and the period of x(t) for each of the follow- ing three cases: (1) /3 27 (ii) 3x/4 1/2 */4 (iii) 3/4 1/2 1/4 (b) With r(t)= cos(a,(t +T,) + 8,) and y(t) sin(w,(t + ,) + 8,), determine for which of the following combinations r(t) and y(t) are identically equal for all t. Ty (i) /3 2 /3 -x/3 B/4 3/4 (i1) 1/2 /4 11r/4 3r/8 (ii1) 1/2 1/4 3/4 3/8 P2.2 Let rlul
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