$$\frac{1}{1 + \cot x} - \frac{\sin x}{\sin x - \cos x}$$ What is the simplified form of this expression? A) $\sec(2x)$ B) $\sec^{2}(2x)$ C) $\tan(2x)$ D) $2 \cdot \sec x$ E) $2 \cdot \tan x$
$$\frac{1}{1 + \cot x} - \frac{\sin x}{\sin x - \cos x}$$
What is the simplified form of this expression?
A) $\sec(2x)$
B) $\sec^{2}(2x)$
C) $\tan(2x)$
D) $2 \cdot \sec x$
E) $2 \cdot \tan x$