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Regional Olympiad - FBH 2011 Grade 11 Problem 1

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2011

September 26, 2018
parameterizationalgebra

Problem Statement

Determine value of real parameter λ\lambda such that equation 1sin⁡x+1cos⁡x=λ\frac{1}{\sin{x}} + \frac{1}{\cos{x}} = \lambda has root in interval (0,π2)\left(0,\frac{\pi}{2}\right)
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