Complete the Identity $\frac { \sin \theta } { \cos \theta + 1 } + \cot \theta$

Multiple Choice

Complete the identity.
-The expression $\frac { \sin \theta } { \cos \theta + 1 } + \cot \theta$
is to be the left hand side of an equation that is an identity. Which one of the following four expressions can be used as the right hand side of the equation to complete the identity?

A) $\csc \theta$
B) $\sec \theta$
C) $\cos \theta$
D) $\tan \theta$