let-x-and-y-from-R-prove-that-cos-x-iy-cos-2-x-sh-2-y-sin-x-iy-2-sin-2-x-sh-2-y-

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 38117 by maxmathsup by imad last updated on 21/Jun/18

let x and y from R prove that ∣cos(x+iy)∣=cos^2 x +sh^2 y ∣sin(x+iy)∣^2 =sin^2 x +sh^2 y

$${let}\:{x}\:{and}\:{y}\:{from}\:{R}\:{prove}\:{that} \\ $$$$\mid{cos}\left({x}+{iy}\right)\mid={cos}^{\mathrm{2}} {x}\:+{sh}^{\mathrm{2}} {y} \\ $$$$\mid{sin}\left({x}+{iy}\right)\mid^{\mathrm{2}} ={sin}^{\mathrm{2}} {x}\:+{sh}^{\mathrm{2}} {y} \\ $$

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let-x-and-y-from-R-prove-that-cos-x-iy-cos-2-x-sh-2-y-sin-x-iy-2-sin-2-x-sh-2-y-

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