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sin A / (cos A-1) >=1, (3cos A-1) / sin A >=1,

Source: 2007 Peru MO (ONEM) L3 p1 - finals

November 23, 2022
inequalitiesalgebraTrigonometric inequalitytrigonometry

Problem Statement

Find all values of AA such that 0o<A<360o0^o < A < 360^o and also
sin⁡Acos⁡A−1≥1\frac{\sin A}{\cos A - 1} \ge 1 and 3cos⁡A−1sin⁡A≥1.\frac{3\cos A - 1}{\sin A} \ge 1.
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