Rewrite in Terms of Sine and Cosine, and Simplify the Expression

Rewrite in terms of sine and cosine, and simplify the expression: $\frac { \cot \beta - \cot \beta \cos \beta - \cos \beta \sin \beta } { \cos \beta \cot \beta }$

A) $\cot ^ { 2 } \beta - \cos ^ { 2 } \beta$
B) $\cos \beta - \cot \beta$
C) $\cos \beta - 1$
D) $\sin \beta - \cos \beta$
E) $\frac { \cos \beta \cot \beta } { \cos \beta + 1 }$

Correct Answer:

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