Question:
If $\cosech\,x = \dfrac{4}{5}$, then $\sinh x = $ ?
If $\cosech\,x = \dfrac{4}{5}$, then $\sinh x = $ ?
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Inverse hyperbolic identities are reciprocal — $\cosech x = \frac{1}{\sinh x}$.
Updated On: May 18, 2025
- $\dfrac{4}{5}$
- $\dfrac{5}{4}$
- $\dfrac{2}{3}$
- $\dfrac{2}{5}$
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The Correct Option is B
Solution and Explanation
By definition:
\[
\cosech\,x = \frac{1}{\sinh x} \Rightarrow \sinh x = \frac{1}{\cosech\,x} = \frac{1}{4/5} = \frac{5}{4}
\]
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