Find the number of pairs of integer `(x , y)` that satisfy the following two equations: `{cos(x y)=x ` and `tan(x y)=y` (a)`1` (b)` 2` (c) `4 `(d) ` 6`

Explanation

To solve the problem, we need to find the integer pairs \((x, y)\) that satisfy the equations:

1. \(\cos(xy) = x\)
2. \(\tan(xy) = y\)

### Step 1: Analyze the equations

We start with the two equations:
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