/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 15 Write each complex number in pol... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q. 15 (page 630)

Write each complex number in polar form. Express each argument in degrees.

4-3i

Short Answer

Expert verified

The polar form ofz=4-3iis5(cos323.1o+isin323.1o)

Step by step solution

01

Step 1. Given data 

z=4-3i

02

Step 2. Calculate the distance r 

The polar form of z=x+iyis z=r(cos胃+isin胃)

We know,

z=r=x2+y2

Substituting the values of (x, y)=(4, -3),

r=(4)2+(-3)2

r=16+9

r=25

r=5

03

Step 3. Calculating the value of θ

Substitute x=rcos胃and y=rsin胃,

sin胃=yr=-35and cos胃=45

Since, sin323.1o=-35and cos323.10=45.

Therefore, the polar form of z=4-3iis5(cos323.1o+isin323.1o)

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Problems 13鈥�28, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.

胃=-蟺4

In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.

(5,300掳)

In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.

(-2,0)

In Problems 39鈥�54, the polar coordinates of a point are given. Find the rectangular coordinates of each point.

8.1,5.2

Find a vector vwhose magnitude is 4and whose component

in the idirection is twice the component in the jdirection.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.