Wolfram Researchfunctions.wolfram.comOther Wolfram Sites
Search Site
Function CategoriesGraphics GalleryNotationsGeneral IdentitiesAbout This Site Email Comments

View Related Information In
The Documentation Center
MathWorld

Download All Formulas For This Function
Mathematica Notebook
PDF File

Download All Introductions For This Function
Mathematica Notebook
PDF File

 

Developed with Mathematica -- Download a Free Trial Version
 











Tan






Mathematica Notation

Traditional Notation









Elementary Functions > Tan[z] > Visualizations





Tetraview plots (6 graphics, 1 animation)


Arguments as a function of the image

The above graphics of the real part and imaginary part over the can be viewed as a projection of the surface in a four‐dimensional space with coordinates . This time, projections into other 3D hyperplanes are shown. The left picture shows as a function of and . The right picture shows as a function of and . Over the image plane, the real part and imaginary part of the argument are multivalued functions.

Tetraview animation


Play Animation

The above graphics of the real part and imaginary part over the can be viewed as a projection of the surface in a four‐dimensional space with coordinates . This tetraview animation shows projections from the rotating four‐dimensional hypersurface with . The right legend indicates the current orientation of the hypersurface in 4D. The coloring is according to the value of the fourth dimension.

Projective projections

Surfaces and (where and ) as ranges over the .

Surfaces and (where and ) as ranges over the .