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Question Number 160950 by geron last updated on 09/Dec/21

Answered by mindispower last updated on 09/Dec/21

y=((2x)/(1−x^2 )),x=((2z)/(1−z^2 )),z=((2y)/(1−y^2 ))  just x=tg(a),y=tg(b),z=tg(c)  withe tg(2t)=((2tg(t))/(1−tg^2 (t)))

$${y}=\frac{\mathrm{2}{x}}{\mathrm{1}−{x}^{\mathrm{2}} },{x}=\frac{\mathrm{2}{z}}{\mathrm{1}−{z}^{\mathrm{2}} },{z}=\frac{\mathrm{2}{y}}{\mathrm{1}−{y}^{\mathrm{2}} } \\ $$$${just}\:{x}={tg}\left({a}\right),{y}={tg}\left({b}\right),{z}={tg}\left({c}\right) \\ $$$${withe}\:{tg}\left(\mathrm{2}{t}\right)=\frac{\mathrm{2}{tg}\left({t}\right)}{\mathrm{1}−{tg}^{\mathrm{2}} \left({t}\right)} \\ $$

Commented by geron last updated on 10/Dec/21

thank you

$${thank}\:{you} \\ $$

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