1. (a) Given the Z-transform of sinwt and coswt, find the Z-transform of -at sinwt and e-at coswt by using the complex translation theorem for a sampling period of T. Z{sinwt} = z-¹ sinwT 12z-¹coswT + Z-2 ; Z{coswt}: = 1-z-¹coswT 12z-¹coswT + Z-²

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Chapter2: Second-order Linear Odes
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1. (a) Given the Z-transform of sinwt and coswt, find the Z-transform of
e-at sinwt and e-at coswt by using the complex translation theorem for
a sampling period of T.
1- z-coswT
1- 2z-1coswT + Z¬2
z-1sinwT
Z{sinwt}
%3D
1- 2z-1coswT + Z-2; Z{coswt}
Transcribed Image Text:1. (a) Given the Z-transform of sinwt and coswt, find the Z-transform of e-at sinwt and e-at coswt by using the complex translation theorem for a sampling period of T. 1- z-coswT 1- 2z-1coswT + Z¬2 z-1sinwT Z{sinwt} %3D 1- 2z-1coswT + Z-2; Z{coswt}
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