If , find the value of…

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

If sin⁡6θ+cos⁡6θ−1=λsin⁡2θcos⁡2θ\sin^6 \theta + \cos^6 \theta - 1 = \lambda \sin^2 \theta \cos^2 \theta , find the value of λ\lambda .

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