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Math Help - Need Help Graphing 2 Trig Functions

  1. #1
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    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!
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  2. #2
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    Re: Need Help Graphing 2 Trig Functions

    Quote Originally Posted by JBake010 View Post
    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 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 f(x) = \cos\left(\frac{\pi x}{2}\right) to use as a guide ... same idea as #5.
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