Categories > trigonometry > Fundamental trigonometrical ratios and functions > If $x+\frac{1}{x}=2\cos \alpha $, then ${{x}^{n}}+\frac{1}{{{x}^{n}}}=$

trigonometry

Question: If $x+\frac{1}{x}=2\cos \alpha $, then ${{x}^{n}}+\frac{1}{{{x}^{n}}}=$


1) ${{2}^{n}}\cos \alpha $
2) ${{2}^{n}}\cos n\alpha $
3) $2i\,\sin \,n\,\alpha $
4) $2\cos \,n\alpha $
Solution: Explanation: No Solution
Fundamental trigonometrical ratios and functions Trigonometrical ratio of allied angles

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