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trigonometry

Source: China Second Round Test 1

January 30, 2012
trigonometryalgebra unsolvedalgebra

Problem Statement

If cos⁡5x−sin⁡5x<7(sin⁡3x−cos⁡3x){\cos^5 x}-{\sin^5 x}<7({\sin^3 x}-{\cos ^3 x}) (for x∈[0,2π)x\in [ 0,2\pi) ), then find the range of xx.
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