Find x;y;z≥0 such that: { ((x-y-z = sinx-siny-sinz)),((x^2 -y^2 -z^2 = sin^2 x-sin^2 y-sin^2 z)),((x^3 -y^3 -z^3 = sin^3 x-sin^3 y-sin^3 z)) :}


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Question Number 156452 by MathSh last updated on 11/Oct/21
$Find x;y;z≥0 such that: { ((x-y-z = sinx-siny-sinz)),((x^2 -y^2 -z^2 = sin^2 x-sin^2 y-sin^2 z)),((x^3 -y^3 -z^3 = sin^3 x-sin^3 y-sin^3 z)) :}$
$Find x; y; z ⩾ 0 such that :$ ${\begin{cases} x - y - z = \sin x - \sin y - \sin z \\ x^{2} - y^{2} - z^{2} = \sin^{2} x - \sin^{2} y - \sin^{2} z \\ x^{3} - y^{3} - z^{3} = \sin^{3} x - \sin^{3} y - \sin^{3} z \end{cases}$
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