Find the general solutions of the equation ( x 4 -2 x ) x+ (1+ x 4 -2 x ) x=0.

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

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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