Mathematics

Problem

For each integer

n

, consider the point

(n\pi,\sin n\pi)

on the curve

y = \sin x

. In the interval

x \in [-2\pi,\,3\pi]

, for how many such integers

n

does this point lie on a section of the curve where

y = \sin x

is increasing as

x

increases? a) 4 b) 2 c) 3 d) 0