How do you graph #y=sec (x/2)#?
Please read Explanation.
The first step to graphing a reciprocal function is to expand the function with the definition of the reciprocal function. In this case:
So, to put it in the actual function:
Now, graph the wave of
Next, mark a dot on the points where the wave reaches a maximum or a minimum (blue in the picture). Also, mark asymptotes (vertical lines) wherever the wave crosses the
Lastly, you can draw the actual function. To do this, you have to draw figures that look like parabolas between the red lines. If the blue point in that section is above the
Here's just the
I created a Desmos website with all of this information: