Question

Sim
If sinh x = 4, then x is equal to

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Answer 1

Answer:

Step-by-step explanation:

Hyperbolic sine of x

\displaystyle \text{sinh}\ x = \frac{e^{x} - e^{-x}}{2}sinh x=  

2

e  

x

−e  

−x

 

​  

 

Hyperbolic cosine of x

\displaystyle \text{cosh}\ x = \frac{e^x + e^{-x}}{2}cosh x=  

2

e  

x

+e  

−x

 

​  

 

Hyperbolic tangent of x

\displaystyle \text{tanh}\ x = \frac{e^x - e^{-x}}{e^x + e^{-x}}tanh x=  

e  

x

+e  

−x

 

e  

x

−e  

−x

 

​  

 

Hyperbolic cotangent of x

\displaystyle \text{coth}\ x = \frac{e^x + e^{-x}}{e^x - e^{-x}}coth x=  

e  

x

−e  

−x

 

e  

x

+e  

−x

 

​  

 

Hyperbolic secant of x

sech x=  

e  

x

+e  

−x

 

2

​  

 

Hyperbolic cosecant of x

\displaystyle \text{csch}\ x = \frac{2}{e^x - e^{-x}}csch x=  

e  

x

−e  

−x

 

2

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