SlideShare a Scribd company logo
1 of 2
Precalculus
9-7    Products and Quotients of Complex Numbers in Polar Form


Formula for the Product of Complex Numbers in Polar Form:




                             7π       7π       2π      2π 
EX1: Find the product 3  cos    + ισιν  γ2  χοσ + ι σιν  . Then express the
                              6        6        3       3
product in rectangular form.




Quotient of Complex Numbers in Polar Form:




Note:
   • The modulus of the quotient is the _____________________ of the original two
      moduli.
   • The amplitude of the quotient is the ______________________ of the amplitudes.
  π        π      3π      3π 
EX2: Find the quotient 12  cos + ι σ  ÷ 4  χοσ + ι σ
                                     ιν                ιν  . Then express the
                              4        4       2       2 
quotient in rectangular form.




HW p. 596 (10 – 18 even)

More Related Content

What's hot (6)

Tot d lucas
Tot d lucasTot d lucas
Tot d lucas
 
3.4 Notes B
3.4 Notes B3.4 Notes B
3.4 Notes B
 
Rootsproperties
RootspropertiesRootsproperties
Rootsproperties
 
Partial Fractions Quadratic Term
Partial Fractions Quadratic TermPartial Fractions Quadratic Term
Partial Fractions Quadratic Term
 
Partial Fractions Linear Term
Partial Fractions Linear TermPartial Fractions Linear Term
Partial Fractions Linear Term
 
Partial Fractions Linear Term To A Power
Partial Fractions Linear Term To A PowerPartial Fractions Linear Term To A Power
Partial Fractions Linear Term To A Power
 

Similar to Pc9 7 prodquotc notes

Similar to Pc9 7 prodquotc notes (20)

Maths CBSE 2011-12
Maths CBSE 2011-12Maths CBSE 2011-12
Maths CBSE 2011-12
 
Maths CBSE 2012
Maths CBSE 2012Maths CBSE 2012
Maths CBSE 2012
 
Pc12 sol c08_ptest
Pc12 sol c08_ptestPc12 sol c08_ptest
Pc12 sol c08_ptest
 
Pc9 3 polar&rect notes
Pc9 3 polar&rect notesPc9 3 polar&rect notes
Pc9 3 polar&rect notes
 
Pc9 8 powersrootsc notes
Pc9 8 powersrootsc notesPc9 8 powersrootsc notes
Pc9 8 powersrootsc notes
 
Chapter1 draft
Chapter1 draftChapter1 draft
Chapter1 draft
 
Statistics2 chapter1 draft
Statistics2 chapter1 draftStatistics2 chapter1 draft
Statistics2 chapter1 draft
 
Monfort Emath Paper2_printed
Monfort Emath Paper2_printedMonfort Emath Paper2_printed
Monfort Emath Paper2_printed
 
1.3 Pythagorean Theorem and Quadratic Equations
1.3 Pythagorean Theorem and Quadratic Equations1.3 Pythagorean Theorem and Quadratic Equations
1.3 Pythagorean Theorem and Quadratic Equations
 
4.5 graphs of trigonometry functions
4.5 graphs of trigonometry functions4.5 graphs of trigonometry functions
4.5 graphs of trigonometry functions
 
Graphs of trigonometry functions
Graphs of trigonometry functionsGraphs of trigonometry functions
Graphs of trigonometry functions
 
Pure Mathematics Unit 2 - Textbook
Pure Mathematics Unit 2 - TextbookPure Mathematics Unit 2 - Textbook
Pure Mathematics Unit 2 - Textbook
 
07b 1 ma0_2h_-_november_2012
07b 1 ma0_2h_-_november_201207b 1 ma0_2h_-_november_2012
07b 1 ma0_2h_-_november_2012
 
5.7 Interactive Classroom Roots and Zeros.ppt
5.7 Interactive Classroom Roots and Zeros.ppt5.7 Interactive Classroom Roots and Zeros.ppt
5.7 Interactive Classroom Roots and Zeros.ppt
 
Catholic High Emath Paper1
Catholic High Emath Paper1Catholic High Emath Paper1
Catholic High Emath Paper1
 
Monfort Emath Paper1_printed
Monfort Emath Paper1_printedMonfort Emath Paper1_printed
Monfort Emath Paper1_printed
 
Hprec9 3
Hprec9 3Hprec9 3
Hprec9 3
 
1.3 Pythagorean Theorem
1.3 Pythagorean Theorem1.3 Pythagorean Theorem
1.3 Pythagorean Theorem
 
Jurongville Emath Paper1_printed
Jurongville Emath Paper1_printedJurongville Emath Paper1_printed
Jurongville Emath Paper1_printed
 
P cch9 sg
P cch9 sgP cch9 sg
P cch9 sg
 

More from vhiggins1

A1 12 scatter plots
A1 12 scatter plotsA1 12 scatter plots
A1 12 scatter plots
vhiggins1
 
A1 11 functions
A1 11 functionsA1 11 functions
A1 11 functions
vhiggins1
 
A1 11 functions
A1 11 functionsA1 11 functions
A1 11 functions
vhiggins1
 
A2 Test 3 with answers 2011
A2 Test 3 with answers 2011A2 Test 3 with answers 2011
A2 Test 3 with answers 2011
vhiggins1
 
A1 Test 3 study guide with answers
A1 Test 3 study guide with answersA1 Test 3 study guide with answers
A1 Test 3 study guide with answers
vhiggins1
 
PC Test 2 study guide 2011
PC Test 2 study guide 2011PC Test 2 study guide 2011
PC Test 2 study guide 2011
vhiggins1
 
A2 Test 2 study guide with answers (revised)
A2 Test 2 study guide with answers (revised)A2 Test 2 study guide with answers (revised)
A2 Test 2 study guide with answers (revised)
vhiggins1
 
A2 Test 2 study guide with answers
A2 Test 2 study guide with answersA2 Test 2 study guide with answers
A2 Test 2 study guide with answers
vhiggins1
 
A1 Test 2 study guide with answers 2011
A1 Test 2 study guide with answers 2011A1 Test 2 study guide with answers 2011
A1 Test 2 study guide with answers 2011
vhiggins1
 
A1 Test 2 study guide
A1 Test 2 study guideA1 Test 2 study guide
A1 Test 2 study guide
vhiggins1
 
PCExam 1 practice with answers
PCExam 1 practice with answersPCExam 1 practice with answers
PCExam 1 practice with answers
vhiggins1
 
PCExam 1 study guide answers
PCExam 1 study guide answersPCExam 1 study guide answers
PCExam 1 study guide answers
vhiggins1
 
PC Exam 1 study guide
PC Exam 1 study guidePC Exam 1 study guide
PC Exam 1 study guide
vhiggins1
 
PC 1 continuity notes
PC 1 continuity notesPC 1 continuity notes
PC 1 continuity notes
vhiggins1
 
PC 1 continuity
PC 1 continuityPC 1 continuity
PC 1 continuity
vhiggins1
 
A1 3 linear fxns
A1 3 linear fxnsA1 3 linear fxns
A1 3 linear fxns
vhiggins1
 
A1 3 linear fxns notes
A1 3 linear fxns notesA1 3 linear fxns notes
A1 3 linear fxns notes
vhiggins1
 
A1 2 linear fxns
A1 2 linear fxnsA1 2 linear fxns
A1 2 linear fxns
vhiggins1
 
A1 2 linear fxns notes
A1 2 linear fxns notesA1 2 linear fxns notes
A1 2 linear fxns notes
vhiggins1
 
A2 2 linear fxns notes
A2 2 linear fxns notesA2 2 linear fxns notes
A2 2 linear fxns notes
vhiggins1
 

More from vhiggins1 (20)

A1 12 scatter plots
A1 12 scatter plotsA1 12 scatter plots
A1 12 scatter plots
 
A1 11 functions
A1 11 functionsA1 11 functions
A1 11 functions
 
A1 11 functions
A1 11 functionsA1 11 functions
A1 11 functions
 
A2 Test 3 with answers 2011
A2 Test 3 with answers 2011A2 Test 3 with answers 2011
A2 Test 3 with answers 2011
 
A1 Test 3 study guide with answers
A1 Test 3 study guide with answersA1 Test 3 study guide with answers
A1 Test 3 study guide with answers
 
PC Test 2 study guide 2011
PC Test 2 study guide 2011PC Test 2 study guide 2011
PC Test 2 study guide 2011
 
A2 Test 2 study guide with answers (revised)
A2 Test 2 study guide with answers (revised)A2 Test 2 study guide with answers (revised)
A2 Test 2 study guide with answers (revised)
 
A2 Test 2 study guide with answers
A2 Test 2 study guide with answersA2 Test 2 study guide with answers
A2 Test 2 study guide with answers
 
A1 Test 2 study guide with answers 2011
A1 Test 2 study guide with answers 2011A1 Test 2 study guide with answers 2011
A1 Test 2 study guide with answers 2011
 
A1 Test 2 study guide
A1 Test 2 study guideA1 Test 2 study guide
A1 Test 2 study guide
 
PCExam 1 practice with answers
PCExam 1 practice with answersPCExam 1 practice with answers
PCExam 1 practice with answers
 
PCExam 1 study guide answers
PCExam 1 study guide answersPCExam 1 study guide answers
PCExam 1 study guide answers
 
PC Exam 1 study guide
PC Exam 1 study guidePC Exam 1 study guide
PC Exam 1 study guide
 
PC 1 continuity notes
PC 1 continuity notesPC 1 continuity notes
PC 1 continuity notes
 
PC 1 continuity
PC 1 continuityPC 1 continuity
PC 1 continuity
 
A1 3 linear fxns
A1 3 linear fxnsA1 3 linear fxns
A1 3 linear fxns
 
A1 3 linear fxns notes
A1 3 linear fxns notesA1 3 linear fxns notes
A1 3 linear fxns notes
 
A1 2 linear fxns
A1 2 linear fxnsA1 2 linear fxns
A1 2 linear fxns
 
A1 2 linear fxns notes
A1 2 linear fxns notesA1 2 linear fxns notes
A1 2 linear fxns notes
 
A2 2 linear fxns notes
A2 2 linear fxns notesA2 2 linear fxns notes
A2 2 linear fxns notes
 

Pc9 7 prodquotc notes

  • 1. Precalculus 9-7 Products and Quotients of Complex Numbers in Polar Form Formula for the Product of Complex Numbers in Polar Form:  7π 7π   2π 2π  EX1: Find the product 3  cos + ισιν  γ2  χοσ + ι σιν  . Then express the  6 6   3 3 product in rectangular form. Quotient of Complex Numbers in Polar Form: Note: • The modulus of the quotient is the _____________________ of the original two moduli. • The amplitude of the quotient is the ______________________ of the amplitudes.
  • 2.  π π  3π 3π  EX2: Find the quotient 12  cos + ι σ  ÷ 4  χοσ + ι σ ιν ιν  . Then express the  4 4   2 2  quotient in rectangular form. HW p. 596 (10 – 18 even)