UMR's
Trigonometry Brain Malcolm E. Hays 

The Trigonometry Brain is similar
to the Algebra Brain, but lacks many of the features found only in the
Algebra Brain. Since Trigonometry is
usually only taught at one instruction level, there is no real need for
remediation. The Trigonometry Brain is
primarily aimed at students who are taking trigonometry at the collegiate
level. All of the topics in the
Trigonometry Brain are covered in UMR's Trigonometry course. As with all our Brains, the Trigonomety Brain is composed of two primary
features: The Brain navigation window
and the content window. The active thought is located in the center of the
Brain 'plex.
Clicking on any other thought will activate and move it to the center
of the Brain 'plex.
Then the bottom window will load a different content page associated
with the activated thought. For instance, following the path Trigonometric Functions Six Basic Trig Functions Graphs of Trig Functions Sine and Cosine Curves Phase Shift will take you to a page
about the phase shift of a trigonometric function, an important concept in
Trigonometry There are over 100 thoughts
contained in the Trigonometry Brain.
Unlike the first incarnation of the Trigonometry Brain, much more
detail is included on each important trigonometric concept. All examples have detailed
explanations. Many more real world
applications have been included. Trigonometry relies on a thorough
understanding of algebra for success.
Therefore, we include a "Fundamentals of Trigonometry"
thread that details some of the basic knowledge required to be successful in
trigonometry, such as functions, an understanding of real numbers (both
rational and irrational), and a list of algebraic concepts that are useful to
know in Trigonometry. This list
includes reasons why each concept is important in trigonometry. For instance, being familiar with
arithmetic combinations of functions will help us to solve trigonometric
equations. Trigonometric equations can
be solved using algebraic techniques; we only apply trigonometry when
determining the exact solution after we have solved the trigonometric
equation for the appropriate function. For fun, we include a brief
history of π, since π is a fundamental concept in
trigonometry. We start with the
origins of π as a ratio
between circumference and diameter back in Ancient Greece and work our way
forward through time to the computer era, where π has been calculated to over 200 billion digits (and still
counting!). Feel free to explore the
Trigonometry Brain at your leisure.
Like the Algebra and Calculus Brains, it is available 24 hours a day,
7 days a week. Questions or comments about the Trigonometry
Brain can be directed via email to braintrax@umr.edu. 
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