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let-z-r-e-i-find-the-value-of-P-n-z-z-z-2-z-2-z-n-z-n-




Question Number 49241 by maxmathsup by imad last updated on 04/Dec/18
let z =r e^(iθ)    find the value of   P_n =(z+z^− )(z^2  +z^−^2  ).....(z^n  +z^−^n  ) .
$${let}\:{z}\:={r}\:{e}^{{i}\theta} \:\:\:{find}\:{the}\:{value}\:{of}\: \\ $$$${P}_{{n}} =\left({z}+\overset{−} {{z}}\right)\left({z}^{\mathrm{2}} \:+\overset{−^{\mathrm{2}} } {{z}}\right)…..\left({z}^{{n}} \:+\overset{−^{{n}} } {{z}}\right)\:. \\ $$

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