(cos⁡θ−cos⁡π8)(cos⁡θ−cos⁡3π8)(cos⁡θ−cos⁡5π8)(cos⁡θ−cos⁡7π8)=λcos⁡4θ\left( \cos \theta - \cos \frac{\pi}{8} \right) \left( \cos \theta - \cos \frac{3\pi}{8} \right) \left( \cos \theta - \cos \frac{5\pi}{8} \right) \left( \cos \theta - \cos \frac{7\pi}{8} \right) = \lambda \cos 4\theta…

Mathematics

Problem

(cos⁡θ−cos⁡π8)(cos⁡θ−cos⁡3π8)(cos⁡θ−cos⁡5π8)(cos⁡θ−cos⁡7π8)=λcos⁡4θ\left( \cos \theta - \cos \frac{\pi}{8} \right) \left( \cos \theta - \cos \frac{3\pi}{8} \right) \left( \cos \theta - \cos \frac{5\pi}{8} \right) \left( \cos \theta - \cos \frac{7\pi}{8} \right) = \lambda \cos 4\theta , then the value of λ\lambda is .....

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