Question

There are six trigonometric and six inverse trigonometric functions. Similarly there are six hyperbolic function defined as follows:
The quantity $\frac{e^x-e^{-x}}{2}$ where $xϵR$ is called hyperbolic sine of $x$ and is written as $\sinh x$, $\cosh x=\frac{e^x+e^{-x}}{2}$ called as hyperbolic cos $x$ and hyperbolic tan of $x$ is written as $\tanh x=\frac{\sinh x}{\cosh x}$, $\text{cosech}x=\frac{1}{\sinh x},\coth x=\frac{1}{\tanh x}$.

Which of the following is many one ?

• A. $\tanh x$
• B. $\coth x$
• C. $\cosh x$
• D. $\sinh x$

Answer 1

Answer: (C)

$\cosh x$

From the graphs, it is clear that $\cosh x$ is many one function .