/*! 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. 14 Write each complex number in pol... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q. 14 (page 630)

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

-1-i

Short Answer

Expert verified

The polar form ofz=-1-iis2(cos225o+isin225o)

Step by step solution

01

Step 1. Given data

z=-1-i

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)=(-1, -1),

r=(-1)2+(-1)2

r=2

03

Step 3. Calculating the value of θ

Substitute x=rcos胃and y=rsin胃,

Therefore, sin胃=yr=-12and

cos胃=xr=-12

since, sin225o=-12and cos225o=-12

Therefore, 胃=225o

Therefore, the polar form ofz=-1-iis2(cos2250+isin2250)

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

Identify and graph each polar equation. Verify your graph using a graphing utility.

r=4+2sin胃

Write the expression in the standard form a+bi.

3cos10掳+isin80掳3

Identify and graph each polar equation. Verify your graph using a graphing utility.

r=3cos4胃

In Problems 11鈥�22, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees.

3-4i.

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3
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

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.