Please do #2 section 3.5 The identity ei+2 = e²1e²2, from which we obtain (e?)" = e, is useful in some of theexercises.1. Write each of the complex numbers in the form a +iB, where a and B are realnumbers.(a) 2ein/3(b) –2/2e-i/4(c) (2 – i)e37/21(d): e'7x/6(e) (VZer/6)*2/22. Write each of the functions in the form Ae" cos Bt +iBeat sin Bt, where a, ß, A, andB are real numbers.(a) 2eiv2t2-(2+3i)t(b)121+i(f+x)(c)(d) (/Že"+*)³3(e)eint

To write each of the given function in the form A* eatcos(bt)+Beat sin(bt) . We apply three…

Answered: 2. Write each of the functions in the…

2. Write each of the functions in the form Aet cos Bt +iBed sin Bt, where a, B, A, and B are real numbers. (a) 2eiv2i 2 -(2+3i)t (b) =e 1 (c) 3 1 (e)

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 72E

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Question

Please do #2

section 3.5

The identity ei+2 = e²1e²2, from which we obtain (e?)" = e, is useful in some of the
exercises.
1. Write each of the complex numbers in the form a +iB, where a and B are real
numbers.
(a) 2ein/3
(b) –2/2e-i/4
(c) (2 – i)e37/2
1
(d)
: e'7x/6
(e) (VZer/6)*
2/2
2. Write each of the functions in the form Ae" cos Bt +iBeat sin Bt, where a, ß, A, and
B are real numbers.
(a) 2eiv2t
2
-(2+3i)t
(b)
1
21+i(f+x)
(c)
(d) (/Že"+*)³
3
(e)
eint

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