1. y = x - sin(x)

y(-x) = (-x) - sin(-x) = -x + sin(x) = -(x - sin(x)) = -y(x)

нечетная.

2. y = x² - cos(x)

y(-x) = (-x)² - cos(-x) = x² - cos(x) = y(x)

четная

3. y = (x+sin(x))/(x-sin(x))

y(-x) = (-x + sin(-x))/(-x - sin(-x)) = (-x - sin(x))/(-x + sin(x)) =

= (x+sin(x))/(x - sin(x)) = y(x)

четная

4. y = tg(x)·sin²(x)

y(-x) = tg(-x)·sin²(-x) = -tg(x)·(-sin(x))² = -tg(x)·sin²(x) = -y(x)

нечетная