# Thread: Need Help Graphing 2 Trig Functions

1. ## Need Help Graphing 2 Trig Functions

I have given 6 functions to graph as an assignment, and I have completed 4 of them so far. I completed the 5th, but I'm not so sure I did it correctly. And I have tried the 6th problem, but I'm having a brain fart and have no idea where to begin.

The 5th problem is to graph f(x) = csc(x + (pi/2)) - I have to graph it with a period of 2pi, and I have my critical points as -pi/2, pi/2, and 3pi/2; with vertical asymptotes occuring at 0 and pi. Is this correct?

The 6th problem is to graph f(x) = sec (pi*x/2) - I don't know how to begin this problem? Do I have to take the pi out of the parentheses so that it changes the period of the problem?

Any help is much appreciated.

Thanks!

2. ## Re: Need Help Graphing 2 Trig Functions

Originally Posted by JBake010
I have given 6 functions to graph as an assignment, and I have completed 4 of them so far. I completed the 5th, but I'm not so sure I did it correctly. And I have tried the 6th problem, but I'm having a brain fart and have no idea where to begin.

The 5th problem is to graph f(x) = csc(x + (pi/2)) - I have to graph it with a period of 2pi, and I have my critical points as -pi/2, pi/2, and 3pi/2; with vertical asymptotes occuring at 0 and pi. Is this correct?

The 6th problem is to graph f(x) = sec (pi*x/2) - I don't know how to begin this problem? Do I have to take the pi out of the parentheses so that it changes the period of the problem?

Any help is much appreciated.

Thanks!
5. graph $\displaystyle f(x) = \sin\left(x + \frac{\pi}{2}\right)$

for the cosecant graph, a vertical asymptote occurs wherever f(x) = 0 ... the graph of cosecant "touches" the highest point of the sine graph.

have a look at the graphs ...

6. graph $\displaystyle f(x) = \cos\left(\frac{\pi x}{2}\right)$ to use as a guide ... same idea as #5.