Tag Archives: cosine

Triglines

Image | Posted on by | Tagged , , , , , , , , | Leave a comment

Nested Trigonometric Functions: Sine and Cosine

The sine and cosine curves themselves are shown for reference, and all four possible combinations of sine and/or cosine which nest one function inside another (with values for the outer function to evaluate ranging from -2π to 2π) are also … Continue reading

Posted in Mathematics | Tagged , , , , , , , , , , | 1 Comment

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

Posted in Art, Mathematics | Tagged , , , , , , , , , , , , , , | 3 Comments

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

Posted in Mathematics | Tagged , , , , , , , , , , , , | 2 Comments

Circumsinusoidal Regions, Part One

The inner boundary of the yellow regions above is a sine curve (technically, a cosine curve, but that’s the same thing, just with a phase shift). The outer boundaries are semicircles. In order for this to work, to form these … Continue reading

Posted in Mathematics | Tagged , , , , , , , , , , , , , | Leave a comment

Basic Trigonometric Functions, Viewed On a Polar Coordinate System

The last post made me curious about other trigonometric functions’ graphs, in a polar coordinate system. They were not what I expected. Here they are.

Image | Posted on by | Tagged , , , , , , , , , , , , , , | Leave a comment