If , then find the value of…

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

Problem

If (2n+1)θ=π(2^n + 1)\theta = \pi , then find the value of 2ncos⁡θcos⁡2θcos⁡22θ…cos⁡2n−1θ2^n \cos \theta \cos 2\theta \cos 2^2 \theta \dots \cos 2^{n-1} \theta .

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