Continued Fraction Approximations of the Tangent Function

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

Many elementary and special functions have nice continued fraction approximations. This Demonstration allows investigation of the continued fraction approximation of the tangent function. Because any finitely truncated continued fraction approximation is a rational function, it cannot approximate the periodic tangent function globally. But the range of good approximation increases with the number of terms.

Contributed by: Michael Trott (March 2011)
Open content licensed under CC BY-NC-SA



continued fraction terms — the number of terms in the continued fraction approximation

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.