Question

(cos 2pi/17+isin pi/ 17 )^18÷(cospi/17+ isin pi/17)^17 =?

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Answer 1

Step-by-step explanation:

Gauss, having to do with cyclotomy, and predating Galois. If ω≠1 but ω17=1, it is not hard to show that ω+1ω is a root of the given polynomial, using

1+ω+ω2+ω3+ω4+ω5+ω6+ω7+ω8+ω9+ω10+ω11+ω12+ω13+ω14+ω15+ω16=0

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