# Solving several questions on complex numbers

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

Â© BrainMass Inc. brainmass.com March 5, 2021, 1:24 am ad1c9bdddfhttps://brainmass.com/math/functional-analysis/solving-several-questions-complex-numbers-587381

#### Solution Preview

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

Show all work in word Doc

p. 357 #61

-iâˆš2-2-(6-4iâˆš2)-(5-iâˆš2)=(-2-6-5)+(-âˆš2+4âˆš2+âˆš2)i=-13+(4âˆš2)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(cos90Ëš+isin90Ëš)=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.