Hello!

I don't know how to determine whether a series involving a trig function converges or diverges.

As an example, could someone show me how to determine if the following series converges?

$\displaystyle \sum^{\infty}_{n=1} \frac{\left|sin(n)\right|}{n^2}$

I appreciate some guidance. Cheers.

P.S. we don't use the integral test in my course.