let-give-z-e-i-2pi-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-2pi-5-sin-2pi-5-cos-4pi-5-sin-4pi-5-cos-

Tinku Tara June 4, 2023 Trigonometry 0 Comments

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

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)).

$${let}\:{give}\:{z}=\:{e}^{{i}\frac{\mathrm{2}\pi}{\mathrm{5}\:}} \:\:\:\:{and}\:\:{a}=\:{z}\:+{z}^{\mathrm{4}} \:\:\:\:,\:\:\:{b}=\:{z}^{\mathrm{2}} +{z}^{\mathrm{3}} \\ $$$${find}\:{a}\:{equation}\:{wich}\:{have}\:{a}\:{and}\:{for}\:{rootsthen}\:{find} \\ $$$${the}\:{values}\:{of}\:{cos}\left(\frac{\mathrm{2}\pi}{\left.\mathrm{5}\right)}\right),\:{sin}\left(\frac{\mathrm{2}\pi}{\mathrm{5}}\right),{cos}\left(\frac{\mathrm{4}\pi}{\mathrm{5}}\right)\:,{sin}\left(\frac{\mathrm{4}\pi}{\mathrm{5}}\right)\:,{cos}\left(\frac{\pi}{\mathrm{5}}\right). \\ $$

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let-give-z-e-i-2pi-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-2pi-5-sin-2pi-5-cos-4pi-5-sin-4pi-5-cos-

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