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* Calculus : Trygonometry. y = a cosec(bx+c) y = a sec(bx+c)

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Windows : Dev-C++ 4, Lcc-win32
Linux : gcc abc.c -lm Return
a.out Return

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* You can compile the *.c files directly without create a project.


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Sinus Functions :

y = a sin(bx+c)

y = a sin(b(x+c/b))


One wave between zeros of the graph of the function.

sin(x) : [0,2*Pi]


Compress or Strech : |a|

c01g_1.c : a*cosec(x)

f1a.h : cosec(x) |a|=1
f1b.h : 2*cosec(x) |a|=2
f1c.h : 4*cosec(x) |a|=4
f1d.h : -4*cosec(x) |a|=4
f1d.h :1/2*cosec(x) |a|=1/2


The periode : 2*Pi/|b|

c01g_2.c : cosec( b*x)

f2a.h : cosec( 2*x) 2*Pi/|b|=Pi
f2b.h : cosec( 3*x) 2*Pi/|b|=2*Pi/3
f2C.h : cosec( -3*x) 2*Pi/|b|=2*Pi/3
f2d.h : cosec(1/2*x) 2*Pi/|b|=4*Pi


The phase shift : -c/b

cosec(b*x+c)

c01g_3a.c f3a.h : cosec( x-1) -c/b=1
c01g_3b.c f3b.h : cosec( x-2) -c/b=2
c01g_3c.c f3c.h : cosec( x-3) -c/b=3


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Cosinus Functions :

y = a sec(bx+c)

y = a sec(b(x+c/b))


One wave between zeros of the graph of the function.

- sec(x) : [-Pi/2,3*Pi/2]


Compress or Strech : |a|

c01g_4.c : a*sec(x)

f4a.h : sec(x) |a|=1
f4b.h : 2*sec(x) |a|=2
f4c.h : 4*sec(x) |a|=4
f4d.h : -4*sec(x) |a|=4


The periode : 2*Pi/|b|

c01g_5a.c : secx( b*x)

f5a.h : sec( 2*x) 2*Pi/|b|=Pi
f5b.h : sec( 3*x) 2*Pi/|b|=2*Pi/3
f5c.h : sec(1/2*x) 2*Pi/|b|=4*Pi


The phase shift : -c/b

sec(b*x+c)

c01g_6a.c f6a.h : sec( x-1) -c/b=1
c01g_6a.c f6a.h : sec( x-2) -c/b=2
c01g_6a.c f6a.h : sec( x-3) -c/b=3


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The members can try these links :

http://groups.yahoo.com/group/mathc/files/C/D/c01h.zip