Book edition 5th

Author(s) Otto Bretscher

Pages 442 pages

ISBN 9780321796974

Answers without the blur.

Just sign up for free and you're in.

Short Answer

Sketch the trajectory of the complex-valued function $z = e^{3 it}$ and find its period.

The period is $\frac{2 τ τ}{3}$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step1: Euler’s formula:

The Euler’s formula is $e^{i t} = c o s t + i s i n t$

Step2: Explanation of the solution

Consider the given complex valued function:

$z = e^{3 i t}$

By using Euler’s formula, the function can be written as follows.

$\begin{array}{l} z = e^{3 it} \\ Z = \cos (3 t) + isin (3 t) \end{array}$

Step3: Graphical representation of the solution

The function is sketched in figure 1 as follows.

Hence, the period for the function $z = e^{3 i t}$ is $\frac{2 τ τ}{3}$ .

Find Study Materials for

Create Study Materials

Select your language

Linear Algebra With Applications

Answers without the blur.

Short Answer

Sketch the trajectory of the complex-valued function $z = e^{3 it}$ and find its period.

Step by Step Solution

Step1: Euler’s formula:

Step2: Explanation of the solution

Step3: Graphical representation of the solution

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Select your language

Linear Algebra With Applications

Answers without the blur.

Short Answer

Sketch the trajectory of the complex-valued function z=e3itand find its period.

Step by Step Solution

Step1: Euler’s formula:

Step2: Explanation of the solution

Step3: Graphical representation of the solution

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Probability and Statistics

Statistics

Mechanics Maths

Geometry

Pure Maths

Sketch the trajectory of the complex-valued function $z = e^{3 it}$ and find its period.