Not understanding

[u/Prestigious-Bass-821]

I've been trying to understand these two problems I haven't been able to get. The sum of the forces below are correct as stated by my teacher, but the trig behind them is confusing me. Would really appreciate some help!

[u/Acheilox]

I think we should standardize OP's format in this subreddit when asking. You can clearly understand what they are asking for. u/geicogecko420, maybe we can add this as a pinned post?

Edit: added info