/*! 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} Q29P Find each of the following in th... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q29P (page 71)

Find each of the following in the x+iy form and check your answers by computer.

cosh(2蟺i)

Short Answer

Expert verified

cosh2蟺ican be written in the form of 1+0i=1.

Step by step solution

01

Given Information.

The given expression is cosh2蟺i.

02

Definition of Complex Numberand Hyperbolic functions.

The domain of a function refers to the range of values that can be plugged into it. This is the set of x values in a function like f (x) . The range of a function is the set of values that the function can take. This is the set of values that the function produces when we enter x value. The y values are what you're looking for.

The basic hyperbolic functions are:

  1. Hyperbolic sine(sinh)
  2. Hyperbolic cosine(cosh)
  3. Hyperbolic tangent(tanh)
03

Write cosh(2πi) in the form of (x+iy) .

Letu=cosh2蟺iu=cosh2蟺i

It is known that

coshxi=cosxu=cos2x1.

Hence, cosh2蟺i can be written in the form of 1+0i=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 numbersand in the following equations (x-iy)2=2ix.

Find the absolute value of each of the following using the discussion above. Try to do simple problems like these in your head-it saves time.

(1+2i)3.

Test each of the following series for convergence.

鈭�1+in2

Solve for all possible values of the real numbers xand yin the following equations.

x+iy=y+ix

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

Recommended explanations on Physics Textbooks

Physical Quantities And Units

Read Explanation

Classical Mechanics

Read Explanation

Kinematics Physics

Read Explanation

Electricity and Magnetism

Read Explanation

Electrostatics

Read Explanation

Fluids

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.