Within the interval

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Within the interval (−3π2, 3π2)\bigl(-\tfrac{3\pi}{2},\,\tfrac{3\pi}{2}\bigr), how many points satisfy the equation sin⁡x=cos⁡x\sin x = \cos x? (a) 4 (b) 3 (c) 2 (d) 5

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