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# Solving several questions on complex numbers

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These questions involve trigonometry, complex numbers, polar equations, and parametric equations. See below for the problems I require assistance with, and refer to the attachments to find details regarding those problems.

Show all work in a Word document.

p. 357 #61,

p. 358 #81

p 359, #115

p. 364 #27

p, 365 #41

p. 370 #13

p. 371, #43, #45

p. 390 #77

p. 391, #81

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#### Solution Preview

Please check attachment. I answered all the questions in the attached word file.

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p. 357 #61
-i√2-2-(6-4i√2)-(5-i√2)=(-2-6-5)+(-√2+4√2+√2)i=-13+(4√2)i

p. 358 #81
(6+2i)/(1+2i)=[(6+2i)(1-2i)]/[(6+2i)(1-2i)]=(6-12i+2i+4)/(1-4i2)=(10-10i)/5=2-2i

p 359, #115
Total impedance is (50+15i)+(60+17i)=110+32i

p. 364 #27
10(cos90˚+isin90˚)=10(0+i*1)=10i

p, 365 #41

p. 370 #13 ...

#### Solution Summary

The solution gives detailed steps on solving several questions on complex numbers including polar coordinate, rectangular coordinate and complex standard form.

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