cotθ = $- \frac{4}{3}$   এবং   $0 \le \theta \le \pi$   হলে   $\frac{\sec{\left ( - \theta \right )} + \cos{\theta}}{\sin{\theta} - \tan{\theta}}$ এর মান কত ?  

$\begin{array}{l}\cot \theta=\frac{-4}{3} \text { এবং } 0 \leq \theta \leq \pi \text { হলে, } \\ \sec (-\theta)=\sec \theta=\frac{5}{-4} \\ \cos \theta=\frac{-4}{5} \\ \sin \theta=\frac{3}{5} \\ \tan \theta=\frac{-3}{4}\end{array}$

$\begin{aligned} \therefore \frac{\sec (-\theta)+\cos \theta}{\sin \theta-\tan \theta} & =\frac{-\frac{5}{4}-\frac{4}{5}}{\frac{3}{5}+\frac{3}{4}} \\ & \frac{-25-16}{20} \\ = & \frac{\frac{27}{20}}{27}\end{aligned}$