Hi ElectricPavlov and asker. Here is more of a look if you are interested :)
y = 4 cos 1/3 ( theta + 45 degrees ) - 3]
\(y = 4 cos[\frac{ 1}{3} (\theta + 45 ) ]- 3\)
I like to rewrite this as
\(y+3 = 4 cos[\frac{ 1}{3} (\theta + 45 ) ]\)
1) amplitude=4
2) Centre of wave y+3=0 y=-3
(there is probably a better name for this but I don't know it)
3) \(Period = \frac{360}{\frac{1}{3}} = 360\div\frac{1}{3} = 360*3 = 1080\; degrees\)
4) Phase shift
\(\theta+45=0 \qquad \theta=-45\\ \mbox{That is 45 degrees in the negative direction}\)
Here is a you tube clip if you want to watch it :)
https://www.youtube.com/watch?v=Qj6oSkaKAaM