Question

$$= \frac { \cot \theta - 1 } { \cot \theta + 1 }$$

Evaluate

$\frac{\cos(\theta )-\sin(\theta )}{\sin(\theta )+\cos(\theta )}$

Differentiate w.r.t. θ

$-\frac{2}{\left(\sin(\theta )+\cos(\theta )\right)^{2}}$