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Submitted By rutujak

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Words 427

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First, note that it is periodic of period 2. Geometrically, that means that if you take the curve and slide it 2 either left or right, then the curve falls back on itself. Second, note that the graph is within one unit of the t-axis. Not much else is obvious, except where it increases and decreases. For instance, sin t grows from 0 to /2 since the y-coordinate of the point B increases as the angle AOB increases from 0 to /2.

Next, let's look at the graph of cosine. Again, take the horizontal axis to be the t-axis, but now take the vertical axis to be the x-axis, and graph the equation x = cos t.

Note that it looks just like the graph of sin t except it's translated to the left by /2. That's because of the identity cos t = sin (/2 + t). Although we haven't come across this identity before, it easily follows from ones that we have seen: cos t = cos –t = sin (/2 – (–t)) = sin (/2 + t).

The graphs of the tangent and cotangent functions The graph of the tangent function has a vertical asymptote at x = /2. This is because the tangent approaches infinity as t approaches /2. (Actually, it approaches minus infinity as t approaches /2 from the right as you can see on the graph.

You can also see that tangent has period ; there are also vertical asymptotes every units to the left and right. Algebraically, this periodicity is expressed by tan (t + ) = tan t.

The graph for cotangent is very similar.

This similarity is simply because the cotangent of t is the tangent of the complementary angle – t.

The graphs of the secant and cosecant functions The secant is the reciprocal of the cosine, and as the cosine only takes values between –1 and 1, therefore the secant only takes values above 1 or below –1, as shown in the graph. Also secant has a period of 2.

As you would expect by now, the graph of the cosecant looks much like the graph of the secant

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...international locations has made Miami the host of world prestigious, Mercedes- Benz Fashion Week Swim. As a Company Kalix mission is to provide customers possibility to feel pretty, sexy and comfortable in their own skin either you are size zero or size twenty two without sacrifice fashion. That’s why the “Sleek Koture” line is offering to our customers an exclusive mix of textiles that includes premium spandex/ nylon to flatter the body contour, lined with extra support, without being uncomfortable in a attractive colorful prints and exclusive designs available in both lines (swimwear and shapers). * * * * * * * * * * * * * * * * * * References Rutuja, J. (2011). Body Shapers for Women. Retrieved from http://www.buzzle.com/articles/body-shapers-for-women.html Division of Disease Control and Health Protection. (2013). Retrieved from http://www.doh.state.fl.us/disease_ctrl/epi/Chronic_Disease/CPPW/Dade Essortment. (2013). What is a Body Shaper and What they Do? Retrieved from http://www.essortment.com/body-shaper-do-44551.html Global Industry Analysts, Inc. (2010). PRWeb . Retrieved from http://www.prweb.com/releases/swimwear/beachwear/prweb3615714 North American Free Trade Agreement (NAFTA). (2013). Retrieved from http://www.cbp.gov/xp/cgov/trade/trade_programs/international_agreemen Panteva, N. (2012, August). Lingerie,Swimwear & Bridal Stores. IBIS World Industry......

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