Answers>Further Mathematics>A Level>Article

Find all of the roots of unity, Zn, in the case that (Zn)^6=1

Here we use the complex exponential form of 1 which is e^(i 2n pi). Applying the sixth root and substituting in for integer values of n gives all roots in complex exponential form.These can be converted into a complex number of the form a +ib by using e^ix = cosx +isinx

Answered by Callum R. • Further Mathematics tutor

3374 Views

See similar Further Mathematics A Level tutors

Find all of the roots of unity, Zn, in the case that (Zn)^6=1

Related Further Mathematics A Level answers

Using a Suitable substitution or otherwise, find the differential of y= arctan(sinxcosx), in terms of y and x.

Find the reflection of point P(2,4,-6) in the plane x-2y+z=6

Does the following matrix A = (2 2 // 3 9) (upper row then lower row) have an inverse? If the matrix A^2 is applied as a transformation to a triangle T, by what factor will the area of the triangle change under the transformation?

Solve the inequality x/(x+2) ≤ 4/(x-3) for x ≠ -2 or 3