Learning Resources
Lesson
During this Investigation, you will explore patterns in the multiplication of complex numbers. You will compare the process for multiplying complex numbers in rectangular form with the process for multiplying complex numbers in polar form. You will use your comparisons to discover patterns for multiplying and dividing complex numbers in polar form.
Small groups or pairs is advisable for this Investigation. Not only will it save time, but the collaborative approach is ideal for establishing and understanding patterns. Contact your on-line teacher for direction on this matter. Carry out the Procedure as outlined on page 301. Hints and suggestions are provided, should you require assistance.
Answer the Investigation Questions on pages 301 and 302.
A summary of the Investigation is provided.
Notebook Entry:Record the definition of argument. As well, record rules, accompanied by examples, for multiplying and dividing complex numbers in polar form.
Activity
C.Y.U. pages 302 & 303 #'s 6 - 14
When you have completed these questions, ask your on-site teacher to get the solutions for you from the Teacher's Resource Binder and check them against your answers. After you do this, if there is something you had trouble with and still do not understand, contact your on-line teacher for help.
Test Yourself
- Find the product of (3 cis 20°)(24 cis 80°) in polar form.
- Find the quotient of
in polar form. - Find the product of (4 cis 50°)(8 cis 320°) in polar form.
- Find the quotient of
in polar form.
Solutions
1. 
2. 
3. 
4. 