So while I was researching on some trig functions I realized, are there more functions than the sine, cosine, tangent, secant, cosecant and cotangent? Are they still used today? If not, when and why were they used?

  • $\begingroup$ Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. $\endgroup$
    – Community Bot
    Commented Mar 23, 2022 at 2:14
  • $\begingroup$ There were lots of other functions associated to triangles and circles that used to be, and are no longer, in common use; for example, the versine. It's impossible to give an exhaustive list without a definition of "trigonometric function", though. $\endgroup$
    – LSpice
    Commented Mar 23, 2022 at 2:18
  • $\begingroup$ What I mean by "trigonometric function" is anything ratio on the unit circle or on a triangle. $\endgroup$
    – Neil Iyer
    Commented Mar 23, 2022 at 2:20
  • $\begingroup$ Do you have an example of such a function? Perhaps you stumbled upon the hyperbolic trigonometric functions like cosh, sech, tanh. These come up in hyperbolic geometry, but they don't likely aren't taught in introductory courses because hyperbolic geometry is not taught in introductory courses. $\endgroup$ Commented Mar 23, 2022 at 2:57
  • 1
    $\begingroup$ A triangle has three sides. There are six ways to form a ratio of two of the sides ($a/b$, $a/c$, $b/a$, $b/c$, $c/a$, $c/b$). In a right triangle, these give the six trig functions. $\endgroup$ Commented Mar 23, 2022 at 4:33


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