How do we graph the other trig functions?

Aim: How do we graph the other trig functions ?

To graph secant and cosecant, we fist graph sine and cosine to make our lives easier. After graphing cosine or sine, we can use the characteristics of secant and secant graphs to graph them.

1) Graph y=sinx
(The graph starts out at zero, goes up to positive 1 and than comes back to zero, later it goes down to negative 1 and again comes back to zero and continues in this pattern).  

2) Since cosecant is reciprocal of sine, every time sin of x equals to zero, you have an asymptote. Draw the asymtotes. 

y=cscx
 = 1/sinx
So, if 1/0, it is undefined. (Cannot have zero in the denominator).


- The asymptote occurs at pi and repeats every pi units. (That is where sine is zero).

3) The graph of csc comes on where the graph of sine does not equal to zero and stays in between the asymptotes. 

 -Remember it does not touch the asymptotes. It does not have an amplitude because the graph continues vertically and has a period of 2pi. 

The images keep on rotating for some weird reason. 

The same steps apply for the graph of secant, except you start out with graphing the cosine of x. (The graph of cosine starts from one)