Problem

Problem

Find the general solutions of the equation (cos⁡x4−2sin⁡x)sin⁡x+(1+sin⁡x4−2cos⁡x)cos⁡x=0.\left( \cos \frac{x}{4} - 2 \sin x \right) \sin x + \left( 1 + \sin \frac{x}{4} - 2 \cos x \right) \cos x = 0.

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