Problem

Problem

If cos⁡2θ=(2+1)(cos⁡θ−12)\cos 2\theta = (\sqrt{2} + 1)\left(\cos \theta - \frac{1}{\sqrt{2}}\right) , then the value of θ\theta is a. 2nπ+π42n\pi + \frac{\pi}{4} b. 2nπ±π42n\pi \pm \frac{\pi}{4} c. 2nπ−π42n\pi - \frac{\pi}{4} d. None of these

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