Express the Value of the Inverse Hyperbolic Function in Terms $\operatorname { sech } ^ { - 1 } \left( \frac { 12 } { 13 } \right)$

question 157

Multiple Choice

Express the value of the inverse hyperbolic function in terms of natural logarithms.
- $\operatorname { sech } ^ { - 1 } \left( \frac { 12 } { 13 } \right)$

• A) \(\ln \frac { 3 } { 2 }\)
• B) Undefined
• C) \(\ln \frac { 18 } { 13 }\)
• D) \(\ln \frac { 2 } { 3 }\)

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Definitions:

Normal Distribution

Exhibiting symmetry around the mean, this probability distribution reveals that there are more occurrences close to the mean than far away from it.

Chi-squared Distribution

A statistical distribution that is used to describe the distribution of a sum of squared random variables, often used in hypothesis testing.

Degrees of Freedom

The number of independent pieces of information used in the calculation of a statistic, typically the size of the data set minus the number of parameters estimated.

Area

The measurement of the extent of a two-dimensional surface or shape, typically expressed in square units.