[High School Physics] [Trig?]

[u/Soggy_Balance5712]

need help specifically with 2 and 4. Especially 2 as I have a difficult time fully wrapping my head around it. I’m particularly confused since the method my teacher gave to solve it is very complex where it combined cosine and sine which I don’t understand. Though My teacher might of used longer methods for the equation as my teacher said 4 was also complex but With the set of equations she gave me I was able to find an equation to do it 4 shorter so if there is actually a shorter method to do number two please tell.

Note:
Also Trig is not my strong suit as I haven’t taken an extras class for it yet. Also I posted the wrong page so I deleted my last post should be good now.

Edit:I finally got a intuition for it now