Maths Olympiad Prep

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, 2005

Algebra Difficulty 2.0 Junior Prove it Canada

If f(x)=sin2x2sinx+2f(x) = \sin^2 x - 2\sin x + 2, what are the minimum and maximum values of f(x)f(x)?

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.