BQ#4: Unit T Concept 3

Why is a "normal" tangent graph uphill, but a "normal" cotangent graph downhill?
If we think back to the unit circle we can remember that tangent is positive in quadrant one, negative in quadrant two, positive in quadrant three, and negative in quadrant four. we should also remember that the ratio for tangent is sine/cosine or y/x. we should keep in mind that the asymptotes for tangent are where x, cosine, equals zero and that the asymptotes are at pi/2 and 3pi/2. an easy way to remember which direction tangent is graphed is that it is graphed according to which quadrants it is positive and negative in. cotangent

(http://hotmath.com/hotmath_help/topics/graphing-tangent-function/tan-graph.gif)

cotangent has asymptotes at zero, pi, and 2pi because sine is equal to zero and those three points are where cotangent is undefined. they are both positive above the x-axis and they are both negative below the x-axis but the reason for why cotangent's asymptotes go downhill is because the asymptotes and boundaries determine which direction the graph will go.

(http://www.mathipedia.com/GraphingSecant,Cosecant,andCotangent_files/image033.jpg)