Involving Sin, Cos, and Tan, how would I go about business using Sin(A+B), Cos(A+B), and Tan(A+B)? With quadrant limiters and drawing reference angles to make right triangles?

not sure what you mean by "go about business."

The addition formulas will always produce a value in the proper quadrant, as long as you use the correct values for sin, cos, tan when you apply them.

You do need to draw the reference angle and place it in the proper quadrant if youi can't remember which functions are negative where.

It helps to recall that since
sin = y/r it is positive where y is positive: QI, QII
cos = x/r it is positive where x is positive: QI, QIV
tan = y/x it is positive where x and y are both positive or negative: QI, QIII