6.5 notes p2 demoivres
DESCRIPTION
Looking at DeMoivre's Theorem and finding all roots of complex numbers.TRANSCRIPT
6.5 Notes: Part 2DeMoivre's Theorem and Nth RootsObjective: Use DeMoivre's Theorem to find complex numbers raised to a power.
Standard: Math Analysis 2.0
Review:Trig form:
Multiplying Complex Numbers in Trig form:
Dividing Complex Numbers in Trig form:
DeMoirve's Theorem
(a+bi)n =
Ex. 1) Evaluate (1 + i)6
Ex. 2) Find (3 - 2i)8
Ex. 4) Find
Nth RootsSolve x4+1=0
Nth Roots Theorem
Ex. 5) Find the fourth root of 625i.
Ex. 6)
Ex. 7)
Assignment:
#7 p. 479 #71-103 (odd)