330 degrees is a special angle on the unit circle.
It will be in the fourth quadrant and negative, since tangent is a negative value in the fourth quadrant.
330 degrees has a reference angle of 30 degrees, and what angle in the first quadrant has a reference angle of 30 degrees?
You probably got 30 degrees which is right.
What is the coordinates for 30 degrees?

If that is what you got it is the correct answer.
The tangent value is 
So plug in.


The 2s will cancel out.

Rationalize by multiplying the top and bottom by 


However, tangent in the fourth quadrant is negative.
is the exact value of tan(330).
Hope this helped,
chikafujiwara
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