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The Magic Trig Circle - For Students -
Moderators: Giskard, imbri, ndemeter

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Incitatus
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Joined: 01 Oct 2004
Posts: 487
Location: Austin, Texas

The Magic Trig Circle - For Students -

This Magic trigonometric function circle is something my professor discovered in an archaic book used "back in the day when we did all this stuff by hand"

I found it quite ingenious and I thought someone here might find it useful or at the very least worth a glance. What I have linked on my flickr account is a more precise representation of what we were given by description in class.

Comes in VERY handy for Calc/PreCalc/Trig Students.

From this simple circle, and following the rules set forth below, you can easily derive 24 distinct trigonometric identities, and of course use a conjunction of values for theta (which is implied on the circle) to solve problems.

Rules of the circle:

1) Any function is equal to the first function divided by the second function consecutively in either direction.
ie: tan = sec/csc
2) Any function is equal to the product of both adjacent functions.
ie: sin = cos x tan
3) Any function is equal to the reciprocal of the function directly across from it.
ie: sin = 1/csc

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Posted: Wed Oct 05, 2005 2:21 am

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