If and , find the value of…

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

If xsin⁡3θ+ycos⁡3θ=sin⁡θcos⁡θx \sin^3 \theta + y \cos^3 \theta = \sin \theta \cos \theta and xsin⁡θ=ycos⁡θx \sin \theta = y \cos \theta , find the value of x2+y2x^2 + y^2 .

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