The number of distinct solutions of the equation in the interval is

MATHEMATICS · Numerical · A Level · Mathematics · Trigonometry · Trigonometry

Problem

The number of distinct solutions of the equation 54cos⁡22x+cos⁡4x+sin⁡4x+cos⁡6x+sin⁡6x=2\frac{5}{4}\cos^2 2x+\cos^4x+\sin^4x+\cos^6x+\sin^6x=2 in the interval [0,2π][0,2\pi] is

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