Wikispace Final Project
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Opposite of y=sin(x)
To graph: 1.)First graph the function as sine.
2.) Draw asymptotes where it crosses the xaxis. 3.) Graph the opposite of sine by
drawing a flipped parabola at the graphs
amplitude.
EXAMPLE:
*Purple parabolas
represent the csc(x)*
http://jwilson.coe.uga.edu/EMT668/EMAT
6680.2000/Umberger/EMAT6690smu/Day
6/Resources/cosecant.gif
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Opposite of y=cos(x)
To graph: 1.) First graph the function as cosine
2.) Draw asymptotes where it would or does
cross the x-axis. 3.) Since it is split into three
parts due to the asymptotes: the first and third
section; draw lines leading towards the
asymptotes. For the middle section draw a
parabola opposite of the point of its amplitude.
EXAMPLE:
Section 1
Section 3
Section 2
http://fouss.pbwiki.com/f/sec%20x.
jpg
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Opposite of y=tan(x)
Best drawn alone without the help of its
opposite [y=(tan)x].
Asymptote at 0 and π (changes depending on
the extent of the problem)
To graph: Put midpoint of the function in
between the two asymptotes, then flip the
graph opposite of what it would be if it were
tangent.
The graph is the
same shape as
EXAMPLE:
tan(x), but it is
reversed
http://www.intmath.com/Trigonometricgraphs/cotx.gif
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Similarities
◦ All flipped
◦ All have asymptotes
◦ All are forms of Trig Functions
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Differences
◦ For Cosecant and Secant: Graph Sine and Cosine
first, then draw its function
◦ For Cotangent: Best to memorize both the funtion
of tan(x) and cot(x)