Maclaurin series expansion to cos x by integrating sinus series. Suggestions?

[Glassy_heart]

I need help finding series expansion to cos x by integrating sinus series

Do you have any suggestion?

 

[Dr.Peterson]

I need help finding series expansion to cos x by integrating sinus series

Do you have any suggestion?

Start with the suggestion you were given!

What is the series for the sine?

What do you get when you integrate it?

Please show your work, so we can tell where you need help.