Question : If $\tan\theta=1$, then the value of $\frac{8\sin\theta\:+\:5\cos\theta}{\sin^{3}\theta\:–\:2\cos^{3}\theta\:+\:7\cos\theta}$ is:

Question : If $\sin A=\frac{5}{13}$ and $7 \cot B=24$, then the value of $(\sec A \cos B)(\operatorname{cosec} B \tan A)$ is:

Question : What is the value of the given expression if $3\cot A=\frac{7}{3}$?
$\frac{3 \cos A+2 \sin A}{3 \cos A-2 \sin A}$

Question : If $\frac{\sin \theta+\cos \theta}{\sin \theta-\cos \theta}=\frac{3}{2}$, then the value of $\sin ^4 \theta-\cos ^4 \theta$ is:

Question : If $\cos \theta=\frac{12}{13}$, then the value of $\frac{\sin \theta(1-\tan \theta)}{\tan \theta(1+\operatorname{cosec} \theta)}$ is: