Answer
$$\frac{\cos \left(φ\right)-1}{\sin \left(φ\right)}+\frac{\sin \left(φ\right)}{\cos \left(φ\right)+1}$$
Work Step by Step
Simplifying the expression using trigonometric identities, we find:
$$\frac{\left(\cos \left(φ\right)-1\right)}{\sin \left(φ\right)}+\frac{\left(\sin \left(φ\right)\right)}{\cos \left(φ\right)+1}=\frac{\cos \left(φ\right)-1}{\sin \left(φ\right)}+\frac{\sin \left(φ\right)}{\cos \left(φ\right)+1} \\ \frac{\cos \left(φ\right)-1}{\sin \left(φ\right)}+\frac{\sin \left(φ\right)}{\cos \left(φ\right)+1}$$