Which quadrant does the terminal side of 530 degrees lie?
When we go all the way around, from positive x-axis to positive x-axis, we go around
When we move one quarter of the way around, from the positive x-axis to the positive y-axis, we move
When we move half-way around, from the positive x-axis to the negative x-axis, we move
Therefore, we're in Q2.
Another way to do this is to take the rotation and divide it by
which means that we've gone around once (1) and not quite half again (0.47) - which puts us in Q2.