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The number of ordered pairs (α, β), where α, β ∈ (-π, π) satisfying cos (α, β) = 1 and cos (α + β) = 1/e is

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The number of ordered pairs (α, β), where α, β ∈ (-π, π) satisfying cos (α, β) = 1 and cos (α + β) = 1/e is

(a) 0

(b) 1

(c) 2

(d) 4

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Correct option: (d) 4

Explanation:

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