Can someone please explain to me what this question is asking:

Using forward and backward rotating phasor notation, X=3<30°. If the
angular frequency is 1 rads-1, x(2) is:

(a) 5.994 (b) 5.088 (c) -4.890

The answer is C

 

Your question is taken out of context. Show us the rest of the paper.

 

This is a link to the full lecture notes:
http://services.eng.uts.edu.au/pmcl/ss/Downloads/LectureNotes.pdf

This is the last question of the quiz on page: 54 (1A.43)

 

Use the relationship given:-

\(x(t)=Xe^{j \omega t}+X^*e^{-j \omega t}\)

where ...

t=2 [sec], ω=1 [rad/sec]

\(X=3\under{/ +30^o}\)

and

\(X^*=3\under{/ -30^o}\)