Consider the equation .

MATHEMATICS · Multi-part · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Consider the equation sin⁡(3x−π6)=12\sin\bigl(3x-\tfrac{\pi}{6}\bigr)=\dfrac12. (i) Find the general solution for xx. (ii) Hence determine all solutions for xx in the interval 0≤x<2π0 \le x < 2\pi.

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