BQ#4 – Unit T Concept 3

http://etc.usf.edu/clipart/36700/36731/tancotan_36731_lg.gif

http://www.afralisp.net/reference/images/sin-cos06.gif

Why is a "normal" tangent graph uphill, but a "normal" tangent graph downhill? Use unit circle ratios to explain. 
 There are two types of tangent graph, your normal tangent graph that has a ratio of y over x, and your other graph is your cotangent graph that has a ratio of x over y. The only difference why one graph goes up and the other one goes downhill has to do with there asymptotes. So with that being said, you know that for a tangent graph you will have an asymptote where cosine = 0. If you take a look above, you'll see that the ratio for tan is sin over cos. So it makes since to say that a tangent graph will have asymptotes when cos is 0 because cos is in the denominator and if you have a 0 in the denominator you will get 'undefined'. For a cotangent graph it is basically the same thing. The ratio for a cotangent graph is cos over sin and in this case sin has to equal 0