pc 6.5 notes_part_1
DESCRIPTION
Introduction to converting complex numbers into trigonometric form.TRANSCRIPT
6.5 Complex Numbers in Trigonometric FormObjectives:1) Convert complex numbers to trig form and vice versa2) Multiply/Divide complex numbers in trig form.
Standard: Math Analysis 2.0
Ex. 1) Given: –2+4i
a) Graph
b) |–2+4i|
c) Find the inclination
Ex. 2) Given r=5 and θ=142°, find the complex number a+bi at the same location.
a
b
r
θ
Trig Form Complex Form
Ex. 3) Write 6–6i in trig form.
Ex. 4) Write as a complex number.
Multiplying Complex Numbers in Trig FormStandard Form: (a+bi)(a+bi) = FOILTrig Form:
Ex. 5) Find z1z2.
Dividing Complex Numbers in Trig FormStandard Form: (a+bi)÷(a+bi) = multiply by conjugate
Trig Form:
Ex. 6) Find
Assignment:
#6 p. 478 #12-39 (mult. of 3), 47-57 (odd)