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Solve the equation \frac{1}{\sin x}+\frac{1}{\cos x}=\frac 1p where p is a real parameter.
Discuss for which values of p the equation has at least one real solution and determine the number of solutions in [0, 2\pi) for a given p.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1231IMO Shortlist 1966 problem 480
1229IMO Shortlist 1966 problem 460
1228IMO Shortlist 1966 problem 450
1227IMO Shortlist 1966 problem 440
1225IMO Shortlist 1966 problem 420
1223IMO Shortlist 1966 problem 400