[Blindmath] List of Common Unit Circle Trig Values

Nelson Blachman nelson.blachman at gmail.com
Thu Dec 4 18:24:01 UTC 2008


Hi Jared,

  Better than such a table, in my opinion, would be to memorize the sine of 
0, pi/6, pi/4, pi/3, & pi/2.  From these backwards, you have the 
corresponding cosines.  The reciprocals of these balues give you the secants 
and cosecants, and their ratios give you the tangents and cotangents.

  For the other three quadrants you should be able to see, from a mental 
picture of how they're related to the abscissa and ordinate of a point on 
the circle in the first quadrant what the trigonometric functions are in the 
other quadrants.

  I've never used a table myself for such trigonometric functional 
values--perhaps because I've been making use of them in my work for the past 
seventy years.

  --Nelson
----- Original Message ----- 
From: "Jared Wright" <wright.jaredm at gmail.com>
To: <blindmath at nfbnet.org>
Sent: Thursday, December 04, 2008 7:05 AM
Subject: [Blindmath] List of Common Unit Circle Trig Values


>I for months have been living and dying by this fantastic Braille 
>cheatsheet that outlined all the important values of the trig functions 
>along the unit circle. All six trig functions for \frac{\pi}{2}, 
>\frac{pi}{4}, \frac{7\pi}{6}, etc. Basically every angle in intervals of 
>\frac{pi}{12} up through 2\pi, covering the entire circle in a very 
>Braille-friendly table. Then I went and lost it. So before I make up 
>another by hand, does anyone know where something like this in tabular form 
>is, in LaTeX or some other accessible medium? Everything I can find is of 
>course superimposed onto a circle, which isn't really the most intuitive 
>way for speech and its serial mode of communication to get things through. 
>Thanks for any suggestions.
>
> All the best,
> JW
>
>
>
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