Question: Consider the following complex numbers, expressed in rectangular form. x = 3 j4 (1) y = 12 j5 (2) (a) Express x and y in

Consider the following complex numbers, expressed in rectangular form. x = 3 j4 (1) y = 12 j5 (2) (a) Express x and y in polar form. (b) Calculate xy using rectangular form and polar form. Which is easier? (c) Calculate |xy|2 using rectangular form and polar form. Which is easier? (d) Calculate (xy)1 using rectangular form and polar form. Which is easier? (e) Let z be a complex number. Show that the following is true without converting z to polar form. <{z} = |z| cos ( tan1 ( ={z} <{z} )) (3) Hint: Use the identity cos = 1/1 tan2 . 1

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

onsider the following complex numbers, expressed in rectangular form. x = 3 j4 (1) y = 12 j5 (2) (a) Express x and y in polar form. (b) Calculate xy using rectangular form and polar form. Which is...

H1.3) (25pts:5+5+[15:5+5+5)) (a) Plot the following complex numbers in the complex plane: ... ....x/ 1'. J93 1. (1) 1+ 2, (11) 1 z, (111) ? + is, (1V) 7 is. Now express (i)(iv) in polar form. (b)...

Problem 3: Consider the following Complex Numbers, and calculate the following: Z=8-25i 22=-2+41 a. Z1 Z2 b. z c. Express both complex numbers in Polar Form. Show all your work MECE 3449-02:...

6. [6 pts) Graph the system of parametric equations then eliminate the parameter. Make sure to graph the orientation as well. {x(t) = 2 cos I: {_ y(t) = 5 sint _ _ Directions: Show all your work and...

I need help with all the lab problems, not the practice problems. Thanks in advance! Euler's formula: el = cos 0+sin e 2 = x + jy = relo Relationship of Polar to the Rectangular Form: x = Re{z} = r...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

example reference Part 1, Static Phasor (60 points) 1. Write a MATLAB script to convert from cartesian to polar coordinates. Ask the user to enter the real (x) and the imaginary (y) components of Z...

How are the standards similar, different and if they are identical, explain why you think they are identical meducators from kindergarten through college, and parents, students, and other Writing,...

HO on list K Write the expression in rectangular form x + yi and in exponential form re" 7 x 3 6 cos + isin 12 ion 7 12 on 8 The rectangular form of the given expression is and the exponential form...

How much do you agree with the criteria? Which one do you prefer using in an emergency, If the standards are consistent, you can give compliments or make suggestions explain why? meducators from...

Prior to 1982, AT&T kept local phone rates low by subsidizing them from long-distance profits. Was such cross-subsidization in the public interest? Explain.

Unearned revenue is reported in the financial statements as: Select one: a. An asset on the balance sheet. b. A revenue on the balance sheet. c. A liability on the balance sheet. d. An operating...

Which choice is one of the fundamental principles that the SEC mar look to in evaluating independence in a particular situation? tions Whether the form has a recent henbory of independeter wielitios

Exercise World began January with merchandise inventory of 6 5 crates of vitamins that cost a total of $ 3 , 8 3 5 . During the month, as follows: View the transactions. Read the requirements....