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ss_5_5 - Section 5.5 Graphs of Trigonometric Functions In...

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Section 5.5 Graphs of Trigonometric Functions In this section, we consider horizontal shifting and vertical stretching of functions. Recall the following: If g ( x )= f ( x - s ), then the graph of g is the graph of f shifted horizontally to x = s If h ( x kf ( x ), then the graph of h is the graph of f with a vertical stretching by a factor of k If r ( x f ( lx ), then the graph of r is the graph of f horizontally compressed by a factor of 1 l . We illustrate the above facts with several graphs. Graph of y =s in x –2 –1 0 1 2 y 2 24681 0 1 2 t Graph of y = - 2sin x –2 –1 0 1 2 y 2 0 1 2 t Graph of y = sin( x - π 4 ) –2 –1 0 1 2 y 2 0 1 2 t Graph of y =cos x –2 –1 0 1 2 y 2 0 1 2 t Graph of y =cos( x + π 4 ) 1
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–2 –1 0 1 2 y 2 24681 0 1 2 t Graph of y =cos2 x –2 –1 0 1 2 y 2 0 1 2 t Graph of y =tan x –2 –1 0 1 2 y 2 0 1 2 t The following three graphs show sine, cosine, tangent plotted with their respective reciprocals, cosecant, secant, and cotangent.
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This note was uploaded on 12/11/2011 for the course MAC 1140 taught by Professor Kutter during the Fall '11 term at FSU.

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ss_5_5 - Section 5.5 Graphs of Trigonometric Functions In...

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