If sin⁡2α−sin⁡3α+sin⁡4αcos⁡2α−cos⁡3α+cos⁡4α=tan⁡kα\frac{\sin 2\alpha - \sin 3\alpha + \sin 4\alpha}{\cos 2\alpha - \cos 3\alpha + \cos 4\alpha} = \tan k\alpha…

Mathematics

Problem

If sin⁡2α−sin⁡3α+sin⁡4αcos⁡2α−cos⁡3α+cos⁡4α=tan⁡kα\frac{\sin 2\alpha - \sin 3\alpha + \sin 4\alpha}{\cos 2\alpha - \cos 3\alpha + \cos 4\alpha} = \tan k\alpha is an identity then the value of kk is equal to - (A) 2 (B) 3 (C) 4 (D) 6

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