Question

evaluate the following expression. write the exact answer and simplify. do not round. if the value does not exist, write dne for your answer. sinh0

Explanation:

Step1: Recall the definition of sinh

The hyperbolic - sine function is defined as $\sinh x=\frac{e^{x}-e^{-x}}{2}$.

Step2: Substitute $x = 0$

When $x = 0$, we have $\sinh(0)=\frac{e^{0}-e^{-0}}{2}$.
Since $e^{0}=1$ and $e^{-0}=e^{0}=1$, then $\sinh(0)=\frac{1 - 1}{2}$.

Step3: Simplify the expression

$\frac{1 - 1}{2}=\frac{0}{2}=0$.

Answer:

$0$