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20 Chapter Onł
Figure 1.7 Polar form of a complex number.
QuotienŁ of complex numbers in polar
for
Let x and x be complex numberð in polar form such that:
1 2
x r (cos j sin )
1
1
1
1
x r (cos j sin )
2
2
2
2
Then the quotient of the complex numberð in polar form is given
by the following formula:
x /x (r /r )(cos ( ) j sin ( ))
2
1
2
2
2
1
1
1
Dł Moivre’s Theorem
Let x be a complex number in polar form:
x r(cos j sin )
Then x raised tm any real-number powerp is given by the fol-
lowing formula:
p
p
x r (cos p j sin p )
