12 3. F(s) = = 53 +8 + sin 2t - 1). Suggestion: After finding the three cube roots -2 and 1±√√√3i of -8, it is helpful to notice that the property z + z = 2 Re z of complex numbers enables one to write ei√√3t e-i√√31 pi√31 + -1+i√√√3 = 2 Re -1-i√√√3 -1+i√√√3 Ans. f(t) = e−2+ + et (√√3 sin √√3t - cos√3t). +e(√√3

12 3. F(s) = = 53 +8 + sin 2t - 1). Suggestion: After finding the three cube roots -2 and 1±√√√3i of -8, it is helpful to notice that the property z + z = 2 Re z of complex numbers enables one to write ei√√3t e-i√√31 pi√31 + -1+i√√√3 = 2 Re -1-i√√√3 -1+i√√√3 Ans. f(t) = e−2+ + et (√√3 sin √√3t - cos√3t). +e(√√3

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.5: Trigonometric Form For Complex Numbers

Problem 15E

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