Answer
Positive coterminal angle: $30^{\circ}$
Negative coterminal angle: $-690^{\circ}$
Work Step by Step
The blue line in the figure represents the standard position of $-330^{\circ}$.
To find a positive angle coterminal with $-330^{\circ}$, we must traverse a full revolution in the positive direction.
Positive coterminal angle = $-330^{\circ}+360^{\circ}=30^{\circ}$
To find a negative angle coterminal with $-330^{\circ}$, we must traverse a full revolution in the negative direction.
Negative coterminal angle = $-330^{\circ}-360^{\circ}= -690^{\circ}$
