Express the Value of the Inverse Hyperbolic Function in Terms $\operatorname { csch } ^ { - 1 } \left( \frac { 9 } { 4 } \right)$

question 72

Multiple Choice

Express the value of the inverse hyperbolic function in terms of natural logarithms.
- $\operatorname { csch } ^ { - 1 } \left( \frac { 9 } { 4 } \right)$

• A) \(\ln \left( \frac { 4 - \sqrt { 97 } } { 9 } \right)\)
• B) \(\ln \left( \frac { 4 + \sqrt { 97 } } { 9 } \right)\)
• C) \(\ln \frac { 3 } { 2 }\)
• D) \(\ln \sqrt { 97 }\)

---

Definitions:

Polygamy

A marriage form in which one individual has multiple spouses at the same time; from the Greek words poly ("many") and gamos ("marriage").

Officially Approved

Endorsed or sanctioned by an authoritative body, indicating compliance with established standards or regulations.

Arranged Marriages

Marital unions organized and agreed upon by parties other than those getting married, often involving families and based on considerations beyond personal choice.

India

A country in South Asia, known for its diverse cultures, languages, religions, and historical significance.