For which values of x do we have x sin(x) > 0?

Question

For which values of x do we have x sin(x) > 0?

Answer 1

the pattern is like this:

-13 pi, -12 pi

-11 pi, -10 pi

-9 pi , 8 pi

-7 pi , 6 pi

-5 pi, -4pi

-3 pi , -2 pi

-1 pi , 1 pi

2pi, 3pi

4 pi, 5 pi

6 pi, 7 pi

etc

(2n+1)pi , 2n pi for integer n<=0

2n pi , (2n+1) for integer n>=0