Example: Hyperbolic and Inverse Hyperbolic Functions
Show that passing the evaluation result of a hyperbolic function to a corresponding inverse hyperbolic function returns the original input argument.
1. Define and evaluate the input argument z symbolically and numerically:
2. Evaluate
sinh and pass the result to
asinh then evaluate it symbolically and numerically:
As expected, both symbolic and numeric results are equal to the value of z.
3. Repeat the previous step using functions
cosh and
acosh:
4. Repeat the previous step using functions
tanh and
atanh:
5. Repeat the previous step using functions
coth and
acoth:
6. Repeat the previous step using functions
sech and
asech:
7. Repeat the previous step using functions
csch and
acsch: