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If sin^x + sin^y+ sin^z=pia then prove that x^4+y^4+z^4+4x^2y^2z^2=2(x^2y^2

If sin^x + sin^y+ sin^z=pia then prove that x^4+y^4+z^4+4x^2y^2z^2=2(x^2y^2+y^2z^2+z^2x^2
what is sin^x ???

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