A \( \text{log}_{\text{e}} \text{cos} \left( \theta + \frac{\pi}{4} \right) + \text{c} \)
B \( \text{log}_{\text{e}} \text{sin} \left( \theta - \frac{\pi}{4} \right) + \text{c} \)
C \( \text{log}_{\text{e}} \text{sec} \left( \theta + \frac{\pi}{4} \right) + \text{c} \)
D \( \text{log}_{\text{e}} \text{cosec} \left( \theta + \frac{\pi}{4} \right) + \text{c} \)