Consider defined on

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

Problem

Consider f(x)=2sin⁡x+cos⁡2xf(x)=2\sin x+\cos 2x defined on [0,2π][0,2\pi]. Its maximum value on this interval is (a) 22 (b) 33 (c) 32\dfrac{3}{2} (d) 5\sqrt{5}

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