let give z= e^(i((2π)/(5 ))) and a= z +z^4 , b= z^2 +z^3 find a equation wich have a and for rootsthen find the values of cos(((2π)/(5)))), sin(((2π)/5)),cos(((4π)/5)) ,sin(((4π)/5)) ,cos((π/5)).


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Question Number 28163 by abdo imad last updated on 21/Jan/18

$l e t g i v e z = e^{i \frac{2 π}{5}} a n d a = z + z^{4}, b = z^{2} + z^{3}$ $f i n d a e q u a t i o n w i c h h a v e a a n d f o r r o o t s t h e n f i n d$ $t h e v a l u e s o f c o s (\frac{2 π}{5)}), s i n (\frac{2 π}{5}), c o s (\frac{4 π}{5}), s i n (\frac{4 π}{5}), c o s (\frac{π}{5}) .$
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