A periodic curve passes through

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

Problem

A periodic curve passes through (0,1)(0,1), has its next zero at x=π2x=\dfrac{\pi}{2}, and attains its minimum value −1-1 at x=πx=\pi. Which equation represents this curve? (a) y=sin⁡xy=\sin x (b) y=cos⁡2xy=\cos 2x (c) y=cos⁡xy=\cos x (d) y=−cos⁡xy=-\cos x

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