Help with No 1(d) 1. Describe and sketch each of the following sets of complex numbers:(a) 1 |2z8| < 6(b) |z-2-i = 3(c) Re(iz + 2) >0(d) |z1|²+z+i|² < 2.2. :(a) For n ≥ 1, show that 1+z+2²+...+z =1-27,2/1(b) Hence, show that 1 + cos 0 + cos 20+...+ cos no = 1/2+#1sin(n+1)2 sin

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Answered: (d) |z1|²+z+i|² < 2.

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(d) |z1|²+z+i|² < 2.

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

Help with No 1(d)

1. Describe and sketch each of the following sets of complex numbers:
(a) 1 |2z8| < 6
(b) |z-2-i = 3
(c) Re(iz + 2) >0
(d) |z1|²+z+i|² < 2.
2. :
(a) For n ≥ 1, show that 1+z+2²+...+z =
1-27,2/1
(b) Hence, show that 1 + cos 0 + cos 20+...+ cos no = 1/2+
#1
sin(n+1)
2 sin

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