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 March 11th, 2012, 02:04 PM #1 Newbie   Joined: Mar 2012 Posts: 1 Thanks: 0 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!
 March 11th, 2012, 03:14 PM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 461 Math Focus: Calculus/ODEs Re: Need Help Graphing 2 Trig Functions For the 5th problem, use the identity: $\csc$$x+\frac{\pi}{2}$$=\sec(x)$ What you graphed was $y=\csc(x)$ For the 6th problem, the period is $\frac{2\pi}{\frac{\pi}{2}}=4$, so your asymptotes will be the lines $x=2k+1$ and the critical points are at $$$2k,\pm1$$$ where $k\in\mathbb Z$.

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