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

question 159

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.
- $\cosh x = \frac { 17 } { 8 } , x < 0 , \operatorname { sech } x =$

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

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