trigonometry

Question: If $\cos (\alpha -\beta )=1$ and $\cos (\alpha +\beta )=\frac{1}{e}$, $-\pi <\alpha ,\beta <\pi $, then total number of ordered pair of $(\alpha ,\beta )$ is



1) 0
2) 1
3) 2
4) 4
Solution: Explanation: No Solution
Fundamental trigonometrical ratios and functions Trigonometrical ratio of allied angles

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