Abstract

Citation

Researchers should cite this work as follows:

• Wood, W. (2023). 2011-W_Wood-Squigonometry. SIMIODE, QUBES Educational Resources. doi:10.25334/P3BW-D418

  BibTex | EndNote

Article Context

Description

Wood, W. 2011. Squigonometry. Mathematics Magazine.  84(4): 257-265.

See https://www.tandfonline.com/doi/abs/10.4169/math.mag.84.4.257 . Accessed 29 March 2023.

The differential equations used to define a unit circle, namely

          x’(t) = - y(t),     y’(t) = x(t),      x(0) = 1,     y(0) = 0

are generalized to produce interesting functions which satisfy trig like identities. Inverse functions are also studied.  Challenge problems are offered and the imagination can render other such equations for other such shapes.

Keywords: differential equations, parametric equations, circle, trigonometry, trigonometric functions, sine, cosine, squigonometry, inverse function