If x((sin a)^3) + y((cos a)^3) = sin x and x(sin a) - y(cos a) = 0 then prove that x^2 + y^2 = 1.

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If x((sin a)^3) + y((cos a)^3) = sin x and x(sin a) - y(cos a) = 0 then prove that x^2 + y^2 = 1.

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