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sin^-1x+sin^-1y+sin^-1z=pi হলে দেখাও যে,...

`sin^-1x+sin^-1y+sin^-1z=pi` হলে দেখাও যে, `x^4+y^4+z^4+4x^2y^2z^2=2(x^2y^2+y^2z^2+z^2x^2)`

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If sin^-1 x+sin^-1 y+sin^-1 z=pi , prove that x^4+y^4+z^4+4x^2y^2z^2=2(x^2y^2+y^2z^2+z^2x^2)

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If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi,t h e nx^4+y^2+z^4+4x^2y^2z^2=K(x^2y^2+y^2z^2+z^2x^2), where K is equal to 1 (b) 2 (c) 4 (d) none of these

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If sin^-1x + sin^-1 y + sin^-1 z = pi , prove that x^4 + y^4 + z^4 + 4x^2y^2z^2 = 2(x^2y^2 + y^2z^2 + z^2x^2)