/*! 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} Q21P Evaluate each of the following聽... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q21P (page 74)

Evaluate each of the followinginx+iy form, and compare with a computer solution.cos(iln(鈭�1))

Short Answer

Expert verified

The value ofcos(iln(鈭�1)) is -1.

Step by step solution

01

Given Information. 

The given hyperbolic number iscos(iln(鈭�1))

02

Definition of Complex Number. 

The numbers that are presented in the form ofx+iywhere,xis the real numbers and yis an imaginary number, those numbers are referred to as called Complex numbers.

03

Find the value of.cos(iln(−1)) 

Use the identity cos(iz)=cosh(z)

So,

cos(iln(鈭�1))=cosh[ln(鈭�1)]=cosh[ln(1)+i(蟺卤2n蟺)]=cos(蟺卤2n蟺)=鈭�1n=0,1,2,3,...

Hence, the value ofcos(iln(鈭�1)) is -1.

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

Solve for all possible values of the real numbers x and y in the following equations.

x+iy=3i-4

Solve for all possible values of the real numbers xand y in the following equations x+iyx-iy=-i.

Solve for all possible values of the real numbers xand yin the following equations.(x+2y+3)+i(3x-y-1)=0

For each of the following numbers, first visualize where it is in the complex plane. With a little practice you can quickly findin your head for these simple problems. Then plot the number and label it in five ways as in Figure 3.3. Also plot the complex conjugate of the number.

2e-i蟺4.

Question: Describe geometrically the set of points in the complex plane satisfying the following equations.

z2=-z炉2..
See all solutions

Recommended explanations on Physics Textbooks

Fundamentals of Physics

Read Explanation

Medical Physics

Read Explanation

Electricity and Magnetism

Read Explanation

Magnetism

Read Explanation

Energy Physics

Read Explanation

Modern Physics

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.