Using Graphs of Trigonometric FunctionsDate: 10/9/95 at 23:31:27 From: Anonymous Subject: applications of csc, sec, and cot graphs In class, we are working on csc, sec, and cot graphs, including how to change the sin, cos, and tan graphs to get them. I don't have a problem calculating and expressing the graphs themselves, but I am interested in applications of these graphs. For example: in what field would it be useful to know the period, the location of the asymptotes, and the domain of a sec graph? Thanks Date: 11/5/95 at 16:36:48 From: Doctor Rob Subject: Re: applications of csc, sec, and cot graphs Hi. The reciprocal trigonometric functions are important and applicable because they, like the other trigonometric functions, are periodic, and many situations arise in the natural and social sciences that can be modeled with these periodic functions. Granted, the Sin, Cos, and Tan functions are most commonly used in direct modeling, but the reciprocal functions often arise when you do calculus on these functions. For example, Integral (tan x) = 1/sec^2 x. Understanding the basic properties of these reciprocal functions - period, asymptotes, domain, range, etc. - is key if you're to use them in models. Graphs help some people to learn and internalize these properties - they're learning tools. So, in summary, the functions are important because they are periodic, and the graphs are important because they help to understand these functions. -Doctor Rob, The Geometry Forum |
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