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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.5: Product-to-sum And Sum-to-product Formulas

Problem 11E

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Obtain the z-transform of the following:
x(n)=na" sin(an)u(n)
X(z)=
X(z)=-
X(z)=-
X(z) =
X(z)=
X(z)=-
O
[az-¹+(az-¹)²] sin(a)
[1-2acos(@)z-¹ + a²z-²1²"
[az-1-(az-1)³] sin(a)
[1-2acos(w)2-¹+ a²z-2]²
[az-1-(az-1)²] sin(a)
[1-2acos(w)z-¹ + a²z-21²¹
[az-¹+ (az-¹)³] sin(a)
[1 −2acos(w)z−¹+ a²z−²1²
[(az-1)2-(az-1)³]sin()
[1-2acos(w)z¹+ a²z-²]²"
[(az-1)²+(az-1)³]sin(@)
[1-2acos(w)2-¹ + a²z-2]²
·|z|>a
|z|>a
|z|>a
. |z|>a
|z|>a
|=| > a

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Obtain the z-transform of the following: x(n)=na" sin(an)u(n) X(z)= X(z)=- X(z)=- X(z) = X(z)= X(z)=- O [az-¹+(az-¹)²] sin(a) [1-2acos(@)z-¹ + a²z-²1²" [az-1-(az-1)³] sin(a) [1-2acos(w)2-¹+ a²z-2]² [az-1-(az-1)²] sin(a) [1-2acos(w)z-¹ + a²z-21²¹ [az-¹+ (az-¹)³] sin(a) [1 −2acos(w)z−¹+ a²z−²1² [(az-1)2-(az-1)³]sin() [1-2acos(w)z¹+ a²z-²]²" [(az-1)²+(az-1)³]sin(@) [1-2acos(w)2-¹ + a²z-2]² ·|z|>a |z|>a |z|>a . |z|>a |z|>a |=| > a
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