BQ#4: Unit T Concept 1-3

From the Unit Circle, we know that tangent and cotangent are both positive in the first and third quadrants and negative in the second and fourth quadrants. Tangent=sine/cosine while cotangent =cosine/sine. Tangent would have asymptotes wherever cosine equals zero (whenever it is undefined) In contrast, cotangent would have asymptotes wherever sine equals zero. The graphs of tangent and cotangent are different because of their different asymptotes. Even though the asymptotes are different, they both still have to be positive in the first and third quadrant and negative in the second and fourth quadrant. Tangent is going uphill and cotangent is going downhill in order to not touch the asymptotes and also to follow the positive/negative rules of the quadrants in the Unit Circle.

(Red=Quadrant 1, Green=Quadrant 2, Orange= Quadrant 3, Blue= Quadrant 4)

 

Tangent

 

Cotangent