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

`cos(xy) = x and tan(xy) = y`

`=>sin(xy)/cos(xy) = y`

`=>sin(xy)/x = y`

`=>sin(xy) = xy`

Only possible value of `theta` when `sintheta = theta` is `0`.

`:. xy = 0`

`=>x = 0 or y = 0`

When `x = 0`,

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