Set-a-b-be-such-that-cos-a-b-1-and-cos-a-b-1-e-Then-find-the-number-of-pairs-of-a-b-satisfying-the-above-system-of-equations-

Question Number 144429 by gsk2684 last updated on 25/Jun/21

Set a, b \in [- Π Π] be such that

\cos (a - b) = 1 and \cos (a + b) = \frac{1}{e} .

Then find the number of pairs

of a, b satisfying the above

system of equations ?