
The normal tangent graph is uphill because tangent is the
same thing as sin/cos and when cosine equals 0 it is undefined which happens in
90 degrees (pi/2) and 270 degrees (3pi/2). Those are asymptotes and when we
graph this and label our asymptotes and follow the SATC we know that tangent is
positive because the arrow goes all the way up to the asymptote. In the other
hand cotangent is cos/sin and when sine is 0 it happens at 0 degrees, pi, and
2pi which are asymptotes and when we label that our positive is at the
asymptote towards zero and once drawn we see that it is downhill.

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