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De Moivre's theorem and roots of complex numbers
Worksheet
Grade Level
Trigonometry
TRIG.128 De Moivre's theorem and roots of complex numbers
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A complex number has polar form 4 cis(25 degrees). Which statement about its fourth power is correct?
A
Its fourth power has modulus 16 and argument 100 degrees.
B
Its fourth power has modulus 256 and argument 100 degrees.
C
Its fourth power has modulus 256 and argument 25 degrees.
D
Its fourth power has modulus 16 and argument 6.25 degrees.
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