If x sin3 θ + y cos3 θ = sin θ cos θ and x sin θ - y cos θ = 0, for every \theta \in (0,\frac{\pi }{2}), then what is x2 + y2 equal to ?

UPSC CDS 2 2023 Math Paper

Question : 30 of 100

Marks: +1, -0

If x sin3 θ + y cos3 θ = sin θ cos θ and x sin θ - y cos θ = 0, for every θ∈(0,‌

π‌

), then what is x2 + y2 equal to ?

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