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Lesson Worksheet: Cube Roots of Unity Mathematics
In this worksheet, we will practice identifying the cubic roots of unity using de Moivre’s theorem.
Find all the values of for which .
Write in its simplest form, where is a primitive cube root of unity.
Evaluate , where is a primitive cube root of unity.
Evaluate where is a complex cube root of unity.
Given that is one of the complex cubic roots of unity, find the complex conjugate of .
What is , where is a primitive cube root of unity?