A geometry problem by Muhammad Maulana

$\sin \theta_1 \cos \theta_2 + \sin \theta_2 \cos \theta_3 +\sin \theta_3 \cos \theta_4+\cdots +\sin \theta_{2013} \cos \theta_{2014} + \sin \theta_{2014}\cos \theta_1$

Find the largest possible value of the expression above where $\theta_1, \theta_2, \ldots, \theta_{2014}$ are all real numbers.