Mathematics

Problem

The number of points in the rectangle

\{(x,y) \mid -12 \leq x \leq 12 \text{ and } -3 \leq y \leq 3\}

which lie on the curve

y = x + \sin x

and at which the tangent to the curve is parallel to the x-axis is (a) 0 (b) 2 (c) 4 (d) 8