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

Comece reproduzindo a pronúncia no MathCATForPython com um leitor de tela, usando as entradas C a H de Exercise 2 na página vinculada sobre funções hiperbólicas inversas. Localize as regras de pronúncia em inglês dos EUA para arcsinh e arctanh e verifique as distinções solicitadas “arksinch” e “ahrk tahnsh” sem alterar outras localidades. Considera-se concluído quando os termos forem audivelmente distintos de arcsin e arctan com o comportamento indicado do sintetizador em inglês dos EUA.

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)