If , then find the value of…

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

Problem

If tan⁡(3π11)+4sin⁡(2π11)=λ\tan\left(\dfrac{3\pi}{11}\right)+4\sin\left(\dfrac{2\pi}{11}\right)=\lambda, then find the value of 1+λ2+λ4+λ61+\lambda^2+\lambda^4+\lambda^6.

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