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Trigo: |cosA(sinA+\sqrt(sin^2(A)+3))|<2

Source: ISI (BS) 2007 #5

April 11, 2012
trigonometryinequalities proposedinequalities

Problem Statement

Show that −2≤cos⁡θ(sin⁡θ+sin⁡2θ+3)≤2-2 \le \cos \theta\left(\sin \theta + \sqrt{\sin ^2 \theta +3}\right) \le 2 for all values of θ\theta.
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