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

question 172

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.
- $\sinh x = \frac { 8 } { 15 } , \operatorname { sech } x =$

• A) \(\frac { 17 } { 15 }\)
• B) \(\frac { 15 } { 8 }\)
• C) \(\frac { 64 } { 289 }\)
• D) \(\frac { 15 } { 17 }\)

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Definitions:

Defenses

Psychological mechanisms developed by the individual to cope with anxiety or conflict.

REBT

Rational Emotive Behavior Therapy (REBT) is a form of cognitive-behavioral therapy developed by Albert Ellis, focusing on changing irrational beliefs to alter emotional and behavioral responses.

Distorting Perceptions

Altering or misconstruing the way we perceive reality, often as a result of biases or mental distortions.

Behavioral Perspective

An approach in psychology focusing on observable behaviors and how they're learned through interactions with the environment.