Consider the following problems about trigonometric and polar forms (a) Let z 6e j 4 find (i) Re(z), (ii) Im(z) (b) If z 8 j3 and v 9 j2, is it true that (i) Re(z) 0 5(z z ) (ii) Im(v) 0 5j(v v ) (iii) Re(z v ) Re(z v) (iv) Im(z v ) Im(z v) ...

a z 6e j4 6 cos4 j 6 sin4 i Rez 6 cos4 32 ii Im ...

Consider the following problems about trigonometric and polar forms. (a) Let z = 6e j/4 find (i)

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Consider the following problems about trigonometric and polar forms.

(a) Let z = 6e^jπ/4 find (i) Re(z), (ii) Im(z)

(b) If z = 8 + j3 and v = 9 − j2, is it true that

(i) Re(z) = 0.5(z + z^∗)? (ii) Im(v) = − 0.5j(v − v^∗)?

(iii) Re(z + v^∗) = Re(z + v)? (iv) Im(z + v^∗) = Im(z − v)?

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Signals and Systems using MATLAB

ISBN: 978-0123948120

2nd edition

Authors: Luis Chaparro

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Question Posted: Mar 13, 2020 09:28 AM

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Consider the following problems about trigonometric and polar forms. (a) Let z = 6e j/4 find (i)

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