Tag Archives: trigonometry

Triglines

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Angels of Trigonometry

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On Pertrigonometric Functions

Pertrigonometric functions are modifications of the three primary trigonometric functions. Unlike the familiar sine, cosine, and tangent functions, the “pertrig” functions include triangle perimeter in their right-triangle-based definitions, which are given in the bulleted list below. The longer form of … Continue reading

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A Message to Trigonometricians, Regarding Placement of Exponents

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Trigonometric Stained-Glass Windows

To make the virtual “painting” above, I plotted simple and moderately-complex trigonometric functions on a single coordinate plane, as shown below, using Geometer’s Sketchpad. I then erased all the text, etc., copied-and-pasted a screenshot into MS-Paint, and used that program … Continue reading

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The 9-81-90 Triangle

In a previous post (right here), I explained the 18-72-90 triangle, derived from the regular pentagon. It looks like this: I’m now going to attempt derivation of another “extra-special right triangle” by applying half-angle trigonometric identities to the 18º angle. After … Continue reading

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Circumsinusoidal Regions, Part Two

[Note:  If you haven’t yet read part one, it is recommended to read it first, before reading this part.  Part one is the most recent post here, before this one.] In part one, a special circumsinusoidal region was described, bounded … Continue reading

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