1) solve x^5 =1 2) if x_i are roots of this equation prove that Σ_i x_i =0 3)prove that cos(((2π)/5)) +cos(((4π)/5)) =−(1/2) 4)calculate cos(((4π)/5)) interms cos(((2π)/5)) then find its values.


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Question Number 31035 by abdo imad last updated on 02/Mar/18

$1) s o l v e x^{5} = 1$ $2) i f x_{i} a r e r o o t s o f t h i s e q u a t i o n p r o v e t h a t \sum_{i} x_{i} = 0$ $3) p r o v e t h a t c o s (\frac{2 π}{5}) + c o s (\frac{4 π}{5}) = - \frac{1}{2}$ $4) c a l c u l a t e c o s (\frac{4 π}{5}) i n t e r m s c o s (\frac{2 π}{5}) t h e n f i n d i t s$ $v a l u e s .$
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