I. Complex Numbers and Variables 1. Find the square roots of the complex number 5 + 2i. (cos 0+j sin 0)® (sin 0+j cos e)4 in the form x + yi. 2. Express 3. Separate into real and imaginary parts vE“. 4. Show that sinh-1 x = log(x + Vx2 + 1). 5. Reduce the following form x + yi i 1- 2i + 5 – 4i 2+ 3i i 2i – 2+ 3i 3 – i 3 - i
I. Complex Numbers and Variables 1. Find the square roots of the complex number 5 + 2i. (cos 0+j sin 0)® (sin 0+j cos e)4 in the form x + yi. 2. Express 3. Separate into real and imaginary parts vE“. 4. Show that sinh-1 x = log(x + Vx2 + 1). 5. Reduce the following form x + yi i 1- 2i + 5 – 4i 2+ 3i i 2i – 2+ 3i 3 – i 3 - i
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 37E
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Transcribed Image Text:I.
Complex Numbers and Variables
1. Find the square roots of the complex number 5 + 2i.
(cos 0+j sin 0)®
(sin 0+j cos 0)*
in the form x + yi.
2. Express
3. Separate into real and imaginary parts vE“.
4. Show that sinh-1 x = log(x + vx² + 1).
5. Reduce the following form x + yi
1- 2i
+
3 – i
2+ 3i
5 – 4i
i
2i –
2 + 3i
3 – i
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