Unit T Big Question #2

2. How do the graphs of sine and cosine relate to each of the others? Emphasize asymptotes in your response?
a. Tangent: To graph tan we must first be able to identify the asymptotes by using cos. 
Tan=sin/cos, and by using the unit circle we know that cos=o which makes the asymptotes to be undefined (1/0= undefined). And because tan is positive in the first quadrant    it goes to positive to negative, and in the second quadrant it goes to negative to positive. 

TAN GRAPH

B. Cotangent: To graph cotangent we use sin to find our asymptotes. Cotangent= cos/ sin, leading that sin will equal 0 (1/0 = undefined), where ever sin=0 on the graph, there will be an asymptote. Following the same order as tangent, cotangent will start off positve to negative.

c. Secant: Cos is necessary for the asymptotes is sec. As in the other two, but in different conditions, sec= 1/cos (1/0= undefined). If it is undefined then it will show were the asymptotes are in the graph. 

d. Cosecant: To find the asymptotes in cosecant we have to focus in sin. Cosecant= 1/sin, by using unit circle we are able to see that sine equals zero (cos= 1/0= undefined). Where ever there sine= 0 then there is an  asymptote. 

 Overall: Cosine and Sine help find the asymptotes for the trig. graph because there is undefined.