How Does the Function ##\sin(\sinh x)## Behave?

[Pushoam]

Homework Statement

Homework Equations

The Attempt at a Solution

$\sinh (x)$ is continuous.

$\sin{( \sinh (x))}$ should have the same amplitude. ...(1)

Option (a) and (b) follow this condition.

For x = 0, $\sin ({ \sinh (x)} )$ = 0. ...(2)

Option (a ) follows this condition.So, the answer is option (a).

Is this correct?

 

[QuantumQuest]

Yes (a) is correct.