Trig equation - graphing to show solutions

a) use special triangles and CAST rule to solve 2 sin x + sqrt3 for 0 to 360 deg. Good, I got that: 60 deg & 120 deg

b) What feature of the graph, in the form y=a sin x + b would show the solutions? According to my book & if I understand correctly, it is the the repeated numeric value along the graph that equals 60 deg BUT - see c)

c) Draw the graph and use it to show the solutions. THIS I am not sure about - do I graph 2 sin x + sqrt3, OR y=sinx and then show the translation?

I can create a table of x & y values to plot for 2 sin x +sqrt3 - so is that where I start? And is there a standard way of setting up your graph, so that say along the x-axis I start with 30 deg & go up by 30 deg intervals?

(Sorry, I know I am asking a lot. But, I am just a future graphic designer trying to fill a prerequisite so I don't get kicked outta my program - yeah, I would die.)