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Plot[Sin[x], {x, 0, 2o}, PlotLabel "GRAPH OF Y = SIN X", AxesLabel {"Values of x","Values of sin x"}]

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Inverse trigonometric functions. The following is a list of the inverse trigonometric functions and their principal values: a y sin 1 x; =2 @ y @ =2 b y cos 1 x; 0 @ y @ c y tan 1 x; =2 < y < =2 d y csc 1 x sin 1 1=x; =2 @ y @ =2 e y sec 1 x cos 1 1=x; 0 @ y @ f y cot 1 x =2 tan 1 x; 0 < y <

PlotLegend is a useful option that can be used to label the graphs in a legend box. It is contained within the package PlotLegends`, which must be loaded prior to its use.

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Example 2.1 Displaying Process Attributes # ps -elk F S 303 A 200003 A 40401 A 40001 A # ps auxw USER PID root 1 root 0 root 8626 nmbd.pid root 8664 smbd.pid %CPU 0.1 0.1 0.0 0.0 %MEM 0.0 0.0 1.0 1.0 SYSV Process Display Format PPID C PRI NI ADDR SZ WCHAN TTY TIME CMD 0 120 16 707 4 0:05 swapper 0 0 60 20 505 220 0:07 init 1 0 60 20 69fa 1060 0:09 nmbd 1 0 60 20 49f2 1440 0:06 smbd BSD Process Display Format SZ 220 4 1060 RSS 180 8 852 TTY STAT A A A A STIME 00:19:58 00:19:28 00:20:17 TIME 0:07 0:05 0:09 COMMAND /etc/init swapper nmbd D f

PlotLegend[{"text1","text2", . . .}] attaches text1, text2, . . . to each description specified in PlotStyle. LegendPosition {a, b} specifies the position for the lower-left corner of the legend box. The center of the graphic is position (0, 0) and the longest side of the graphic runs from 1 to 1.

Hyperbolic functions are de ned in terms of exponential functions as follows. These functions may be interpreted geometrically, much as the trigonometric functions but with respect to the unit hyperbola. a b c ex e x 2 ex e x cosh x 2 sinh x ex e x tanh x cosh x ex e x sinh x d 1 2 sinh x ex e x 1 2 e sech x cosh x ex e x cosh x ex e x f coth x sinh x ex e x csch x

LegendSize scale scales the size by a factor of scale. LegendSize {a, b} uses a and b to determine the size of the legend box. The value 1 corresponds to half the length of the longest side of the graphic.

LegendOrientation Vertical (default) prints the descriptions top to bottom. LegendOrientation Horizontal prints the descriptions left to right.

LegendShadow Automatic is the default. LegendShadow None produces no shadow. The legend box is transparent. LegendShadow {x_offset, y_offset} moves the shadow to the right or up for positive values and to the left or down for negative values.

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The following are some properties of these functions: 1 tanh2 x sech2 x cosh2 x sinh2 x 1 sinh x y sinh x cosh y cosh x sinh y cosh x y cosh x cosh y sinh x sinh y tanh x tanh y tanh x y 1 tanh x tanh y coth2 x 1 csch2 x sinh x sinh x cosh x cosh x tanh x tanh x

PlotLegends` Plot[{x2, 2 x2, 3 x2}, {x, 3, 3}, PlotStyle {Dashing[{.01}], Dashing[{.03}], Dashing[{.03, .08}]}, PlotLegend {"x2", "2 x2", "3 x2"}]

PlotLegends` Plot[{x2, 2 x2, 3 x2}, {x, 3, 3}, PlotStyle {Dashing[{.01}], Dashing[{.03}], Dashing[{.03, .08}]}, PlotLegend {"x2", "2 x2", "3 x2"}, LegendPosition {.2, .4}, LegendSize .5, LegendOrientation Horizontal, LegendShadow { .05,.05}]

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CHAP. 3]

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If desired, graphs can be enclosed within a rectangular frame. Additionally, one or both axes of a graph can be suppressed. Frame specifies whether a frame should be drawn around the graph.

Frame True specifies that a rectangular frame is to be drawn around the graph. Frame False specifies that no frame is to be drawn (default).

Axes True specifies that both axes will be drawn (default). Axes False draws no axes. Axes {False, True} draws a y-axis but no x-axis. Axes {True, False} draws an x-axis but no y-axis.

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