can anyone pls give me difficult grade 10 question to solve?
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fool for math failed to solve it
Let ε0 = 1, ..., εN-1 be the vertices of a regular N-gon inscribed on the unit circle. Show that the sum of all εk, k = 0, ..., N-1, equals zero.
After a suitable adjustment (rotation) of the axes, the vertices of a regular N-gon inscribed in a unit circle can be identified with the Nth roots of unity, so that εk = e2πk·i/N. Thus we are looking into the value of the sum
∑ = ∑ εk = ∑ e2πk·i/N,
k = 0, ..., N - 1.
In [Trigg, #213] the problem is posed a little differently: Prove that the sum of all vectors from the center of a regular n-gon to its vertices is zero.
this is just a statment of the problem, you copied the wrong thing, :)