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Show that 20/60 < sin 20 < 21/60

Source:

September 15, 2010
trigonometryInequalitygeometric inequalityTrigonometric IdentitiesIMO ShortlistIMO Longlistinequalities

Problem Statement

Show that 2060<sin⁡20∘<2160.\frac{20}{60} <\sin 20^{\circ} < \frac{21}{60}.
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