Precalculus - Chapter 6 Trigonometry Worksheet With Answers Page 4

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PRECALCULUS
Name______________________
Chapter 6: Additional Topics in Trigonometry
Date____________ Period______
• If you notice in Example 9, all the roots have the same
Example 9: Finding the nth Roots of a Real Number
Find all the fourth roots of 1.
magnitude and are equally spaced around the unit circle.
• Also notice that the complex roots occur in conjugate pairs.
The n distinct nth roots of 1 are called the nth roots of unity .
Example 10: Finding the nth Roots of a Complex Number
Find the three cube roots of z = -6 + 6i.
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