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Let z = e^2pi i/n. Then z^n = 1, and z is called an nth root of unity. There are n nth roots of unity, equispaced around the unit circle; they have the form z = e^2pi i(k/n) where k = 0, 1, 2,..n-1. Of course 1 is an nth root of unity, for every n. Draw the unit circle for the four 4th roots of unity. The angle difference (in radians) between adjacent 4th roots is Draw the unit circle for the six 6th roots of unity. The angle difference (in radians) between adjacent 6th roots is Draw the unit circle for the eight 8th roots of unity. The angle difference (in radians) between adjacent 8th roots is Show transcribed image text Let z = e^2pi i/n. Then z^n = 1, and z is called an nth root of unity. There are n nth roots of unity, equispaced around the unit circle; they have the form z = e^2pi i(k/n) where k = 0, 1, 2,..n-1. Of course 1 is an nth root of unity, for every n. Draw the unit circle for the four 4th roots of unity. The angle difference (in radians) between adjacent 4th roots is Draw the unit circle for the six 6th roots of unity. The angle difference (in radians) between adjacent 6th roots is Draw the unit circle for the eight 8th roots of unity. The angle difference (in radians) between adjacent 8th roots is
Let z = e^2pi i/n. Then z^n = 1, and z is called an nth root of unity. There are n nth roots of unity, equispaced around the unit circle; they have the form z = e^2pi i(k/n) where k = 0, 1, 2,..n-1. Of course 1 is an nth root of unity, for every n. Draw the unit circle for the four 4th roots of unity. The angle difference (in radians) between adjacent 4th roots is Draw the unit circle for the six 6th roots of unity. The angle difference (in radians) between adjacent 6th roots is Draw the unit circle for the eight 8th roots of unity. The angle difference (in radians) between adjacent 8th roots is
Show transcribed image text Let z = e^2pi i/n. Then z^n = 1, and z is called an nth root of unity. There are n nth roots of unity, equispaced around the unit circle; they have the form z = e^2pi i(k/n) where k = 0, 1, 2,..n-1. Of course 1 is an nth root of unity, for every n. Draw the unit circle for the four 4th roots of unity. The angle difference (in radians) between adjacent 4th roots is Draw the unit circle for the six 6th roots of unity. The angle difference (in radians) between adjacent 6th roots is Draw the unit circle for the eight 8th roots of unity. The angle difference (in radians) between adjacent 8th roots is1
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Bunny GreenfelderLv2
10 Aug 2019