\( \cos (\alpha-\beta)=1 \) and \( \cos (\alpha+\beta)=1 / e \), where \( \alpha, \beta \in \)
\....
\( \cos (\alpha-\beta)=1 \) and \( \cos (\alpha+\beta)=1 / e \), where \( \alpha, \beta \in \)
\( \mathrm{P} \)
\( [-\pi, \pi] \) numbers of pairs of \( \alpha, \beta \) which satisfy both the equations is
(1) 0
(2) 1
(3) 2
(4) 4
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