(i) Express as a product of two trigonometric factors. (ii) Using the result of part…

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

Problem

(i) Express cos⁡5θ−cos⁡θ\cos5\theta-\cos\theta as a product of two trigonometric factors. (ii) Using the result of part (i), solve the equation cos⁡5θ−cos⁡θ=0\cos5\theta-\cos\theta=0 for 0<θ<2π0<\theta<2\pi.

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