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If x sin^3 θ+ycos^3 θ = sinθcosθ and xsinθ = ycosθ, prove that x^2+y^2 = 1.

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If xsin^3theta + ycos^3theta = sin theta cos theta and xsin theta =ycos theta then prove that x^2+y2

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If xsin^3 θ+ycos^3 θ=sinθcosθ and xsinθ=ycosθ, prove that x^2 +y^2 =1.

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