Set $a,\ b \in \lbrack - \pi,\ \pi\rbrack$ be such that $\cos{(a - b) = 1}$ and $\cos{(a + b) = \frac{1}{e}}$. The number of pairs of $a,\ b$ satisfying the above system of equations is

Question

Dr. Abubacker · Accepted Answer

The correct answer is Option D: 4.

Q. Set $a,\ b \in \lbrack - \pi,\ \pi\rbrack$ be such that $\cos{(a - b) = 1}$ and $\cos{(a + b) = \frac{1}{e}}$. The number of pairs of $a,\ b$ satisfying the above system of equations is

Explanation

Reviewed by Dr. Abubacker

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