Answer
$-1.175$
Work Step by Step
The Taylor approximation for a function $\sinh(x)$ centred at $a=0$ can be written as:
$p(x)=x+\dfrac{x^3}{3!}+\dfrac{x^5}{5!}+.........$----
Now, we have:
$p(-1)=(-1)+\dfrac{(-1)^3}{3!}+\dfrac{(-1)^5}{5!}+.......=-1.175$
Therefore, $\sinh (-1)=-1.175$
