Download presentation

1
**Trigonometric Form of Complex Numbers**

Summary of U4 L2 I1

2
**Graphical Representation of a Complex Number**

Graph in coordinate plane Called the complex plane Horizontal axis is the real axis Vertical axis is the imaginary axis 3 + 4i • -2 + 3i • • -5i

3
**Absolute Value of a Complex Number**

Defined as the length of the line segment From the origin To the point Calculated by using Pythagorean Theorem 3 + 4i •

4
**Find That Value, Absolutely**

Try these Graph the complex number Find the absolute value

5
**Trig Form of Complex Number**

Consider the graphical representation We note that a right triangle is formed a + bi • r b θ a How do we determine θ?

6
**Trig Form of Complex Number**

Now we use and substitute into z = a + bi Result is Abbreviation is often

7
**Try It Out Given the complex number -5 + 6i Given z = 3 cis 315°**

Write in trigonometric form r = ? θ = ? Given z = 3 cis 315° Write in standanrd form a = ? b = ?

8
**Product of Complex Numbers in Trig Form**

Given It can be shown that the product is Multiply the absolute values Add the θ's

9
**Quotient of Complex Numbers in Trig Form**

Given It can be shown that the quotient is

10
**Try It Out Try the following operations using trig form**

Convert answers to standard form

Similar presentations

OK

4.6 – Perform Operations with Complex Numbers Not all quadratic equations have real-number solutions. For example, x 2 = -1 has no real number solutions.

4.6 – Perform Operations with Complex Numbers Not all quadratic equations have real-number solutions. For example, x 2 = -1 has no real number solutions.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To ensure the functioning of the site, we use **cookies**. We share information about your activities on the site with our partners and Google partners: social networks and companies engaged in advertising and web analytics. For more information, see the Privacy Policy and Google Privacy & Terms.
Your consent to our cookies if you continue to use this website.

Ads by Google

Download ppt on chemical bonding and molecular structure Jit ppt on manufacturing process Ppt on prevention of needlestick injury Ppt on obesity management strategies Ppt on taj lands end Free ppt on mobile number portability idea Ppt on ms dos commands Ppt on 60 years of indian parliament live Ppt on blood stain pattern analysis history Ppt on tcp ip protocol layers