A Value Of $\sinh x$ Or $\cosh x$ Is Given Use the Definitions and the Identity

question 32

Multiple Choice

A value of $\sinh x$ or $\cosh x$ is given. Use the definitions and the identity $\cosh ^ { 2 } x - \sinh ^ { 2 } x = 1$ to find the value of the other indicated hyperbolic function.
- $\cosh x = \frac { 5 } { 3 } , x > 0 , \sinh x =$

• A) \(\frac { 16 } { 9 }\)
• B) \(- \frac { 4 } { 3 }\)
• C) \(\frac { 4 } { 3 }\)
• D) \(\frac { 3 } { 5 }\)

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Definitions:

Perpetuity

A duration of ownership or investment that lasts indefinitely, often used in the context of trusts or investments that generate an eternal income stream.

Diverse Sources

Diverse sources, in financial contexts, refer to obtaining funds or resources from a variety of origins to reduce dependency on a single source and increase financial stability.

Maximizes Autonomy

The act of increasing the self-governing power or independence of an individual or entity, allowing for greater self-determination and freedom from external control.

Quasi-Endowment

Funds set aside by an organization's board of directors which, unlike true endowments, are not subject to permanent restrictions and may be utilized under certain conditions.