Precalculus - Chapter 6 Trigonometry Worksheet With Answers Page 3
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4PRECALCULUS
Name______________________
Chapter 6: Additional Topics in Trigonometry
Date____________ Period______
Example 7: Dividing Complex Numbers in Trig Form
z
of the complex numbers z
= cos 40° + isin 40°
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Find the quotient
1
z
2
and z
= cos 10° + isin10°.
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Example 8: Finding a Power of a Complex Number
Use DeMoivre’s Theorem to find (1 + i)
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IV. – POWERS OF COMPLEX NUMBERS
The trig form of a complex number is used to raise a complex
number to a power. Consider the repeated use of the multiplication
V. – ROOTS OF COMPLEX NUMBERS
rule:
This leads to DeMoivre’s Theorem which is named after the
French mathematician Abraham DeMoivre.
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