(a) State if the following are True or False. You need not show any working. (i) The period of f(t) = sin(t + n) is T = 2n. 0, 0

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Chapter18: Resistive-inductive Parallel Circuits
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pls help for i-iii, i will repost for iv and v 

1.
(a) State if the following are True or False. You need not show any working.
(i)
The period of f (t) = sin(t + n) is T = 2n.
0 <t <1
(ii) If the function defined over one period is f(t) = { ,"
then ω- π.
-1<t <0°
(iii) If f(t) is odd, then the Fourier coefficients b, # 0 for n = 1, 2, 3, ... because its
integrand f (t) sin nwt is even.
[1+(-1)"]
(iv) E.
sin nt =
=1-sin 2nt .
even
(v) The function f(t) = t³ is periodic over the interval -n <t < n. Its Fourier Sine
2
series coefficient is b, = S", t³ sin nt dt.
Transcribed Image Text:1. (a) State if the following are True or False. You need not show any working. (i) The period of f (t) = sin(t + n) is T = 2n. 0 <t <1 (ii) If the function defined over one period is f(t) = { ," then ω- π. -1<t <0° (iii) If f(t) is odd, then the Fourier coefficients b, # 0 for n = 1, 2, 3, ... because its integrand f (t) sin nwt is even. [1+(-1)"] (iv) E. sin nt = =1-sin 2nt . even (v) The function f(t) = t³ is periodic over the interval -n <t < n. Its Fourier Sine 2 series coefficient is b, = S", t³ sin nt dt.
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