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RU-ALLRUSSIAN 1982 Problem 9

    0<x,y,z<π/20 < \mathrm{x}, \mathrm{y}, \mathrm{z} < \pi / 2 . We have cos⁡x=x,sin⁡(cos⁡y)=y,cos⁡(sin⁡z)=z\cos \mathrm{x} = \mathrm{x}, \sin (\cos \mathrm{y}) = \mathrm{y}, \cos (\sin \mathrm{z}) = \mathrm{z} . Which of x,y,z\mathrm{x}, \mathrm{y}, \mathrm{z} is the largest and which the smallest?

    Dataset text NuminaMath olympiads. Quoted with source.

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