The angle of reference is in the first quadrant, and 90 degrees angle is not in the quadrant.
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in trig a reference angle is ised to create a reference triangle in the first quadrant by using any point except the origin that lies on the terminal side of the ref. angle and drawing a perpendicular to the x-axis. for 90 degrees the terminal side is the y-axis and the perpendicular would not create a triangle, but just retrace the y-axis.
Generally pre-calculus is taken after trigonometry, unless the trigonometry course was supplemented by a pre-calculus course, in which case the next course would be calculus.
They often are. Sometimes, however, radians are used for the measures of angles and for labeling graphs. This is because later aspects of trigonometry, like polar coordinates, arc lengths, and wave graphs, are more easily explored with radians. Pi commonly appears and is more easily understood as π than as 3.14159.... Circles, with areas of πr^2, are frequent and periods of wave function are almost always expressed in radians. Radians become as useful and widespread as degrees.
It depends on the college and since you have not bothered to specify which one, I cannot provide a more useful answer.
because this is called science...