There is not a whole lot to this section. It is here just to remind you of the graphs of the six trig functions as well as a couple of nice properties about trig functions.
Before jumping into the problems remember we saw in the Trig Function Evaluation section that trig functions are examples of periodic functions.
This means that all we really need to do is graph the function for one periods length of values then repeat the graph. Graph the following function.
It is important to notice that cosine will never be larger than 1 or smaller than This will be useful on occasion in a calculus class. We need to be a little careful with this graph. Here is that graph. In this case I added a 5 in front of the cosine. All that this will do is increase how big cosine will get.
The number in front of the cosine or sine is called the amplitude. Here is the graph.
Tangent will not exist at. Secant will not exist at. Notice that the graph is always greater than 1 or less than This should not be terribly surprising. So, 1 divided by something less than 1 will be greater than 1.
So, the graph of cosecant will not exist for. View Quick Nav Download.
You appear to be on a device with a "narrow" screen width i. Due to the nature of the mathematics on this site it is best views in landscape mode.
Tangent graph - Graphs of trig functions - Trigonometry - Khan Academy
If your device is not in landscape mode many of the equations will run off the side of your device should be able to scroll to see them and some of the menu items will be cut off due to the narrow screen width. Cotangent has the following range.