Request for MathCat pronunciation to differentiate between arcsinh vs. arcsin, and arctanh vs. arctan. Currently, they sound the same.

Comienza reproduciendo la pronunciación en MathCATForPython con un lector de pantalla, usando las entradas C a H de Exercise 2 en la página enlazada sobre funciones hiperbólicas inversas. Localiza las reglas de pronunciación en inglés de EE. UU. para arcsinh y arctanh y verifica las distinciones solicitadas “arksinch” y “ahrk tahnsh” sin cambiar otras locales. Se considera terminado cuando los términos se distingan audiblemente de arcsin y arctan con el comportamiento indicado del sintetizador en inglés de EE. UU.

Request for MathCat pronunciation to differentiate between arcsinh vs. arcsin, and arctanh vs. arctan. Currently, they sound the same.

1. With a screen-reader, go to this page:
   https://complexanalysis.org/web/sec_inverse-trig-hyperbolics.html on inverse hyperbolic functions.
2. Refer to Exercise 2, entries C through H on this page for examples.
   PROBLEM: There are several mathematical terms which synthesizers pronounce the same regardless of context.
   EXPECTED: pronunciations need to be different based on context. This request is for US English only.

“Hyperbolic arcsinh” is pronounced simply as “arcsin” but should be pronounced phonetically as “arksinch” for clarity and to bring it into parity with sinh, which is pronounced “sinch.”
“arctanh” now is pronounced “arctan,” but should be pronounced as “ahrk tahnsh”
for clarity and parity with tanh sounding as “tahnsh.”

[With SAPI 5 64-bit [MS Zira US] synth, using Dictionary manager, the best phonetic spelling is ark tansh and ark sinch. Phonetic spelling may differ between synths]

NOTE: when looking for the correct pronunciations, these are the sources used:

Finding out the correct pronunciations, I used these sources:

Correct Pronunciation of “sinh” (Hyperbolic Sine) In mathematics, sinh is the abbreviation for the hyperbolic sine function, defined as:

When pronouncing sinh, there are several common variants, but the most widely accepted in the U.S. is:

/ˈsɪntʃ/ — “sinch” (as in “cinch”), with the “sh” sound and the “ch” as in “China” Mathwords+1.
Other common pronunciations you might hear include:

/ˈʃaɪn/ — “shine” (British-influenced, common in some academic or informal
contexts) Mathematics Stack Exchange+1.

/ˈsɪn h/ — “sine H” (breaking it into “sine” + “H”), which is clear and avoids confusion with trigonometric sine Mathematics Stack Exchange.

Correct Pronunciation of "arctanh"
The correct pronunciation of arctanh in US English is:

/ˈɑː(ɹ)kˌtænʃ/ — “ah‑rtahn‑sh” Wiktionary+1.

Breakdown
/ˈɑː/ — “ah” (long “a” sound, like in father)
(ɹ) — optional alveolar approximant “r” sound (common in American English) /k/ — “k” sound /ˌtænʃ/ — “tahn‑sh” (short “a” in tan, plus the “sh” sound)