Question : If $\operatorname{cosec}\theta+\sin\theta=\frac{5}{2}$, then the value of $(\operatorname{cosec}\theta-\sin\theta)$ is:

Question : If $\sin  \theta + \operatorname{cosec}  \theta = \sqrt{5}$, the value of $\sin^3 \theta + \operatorname{cosec}^3 \theta = $?

Question : The value of $\sqrt{\frac{1+\cos \theta}{1-\cos \theta}}$ is:

Question : If $\operatorname{cosec} \theta+\cot \theta=p$, then the value of $\frac{p^2-1}{p^2+1}$ is:

Question : If $\frac{\sec \theta-\tan \theta}{\sec \theta+\tan \theta}=\frac{1}{7}, \theta$ lies in first quadrant, then the value of $\frac{\operatorname{cosec} \theta+\cot ^2 \theta}{\operatorname{cosec} \theta-\cot ^2 \theta}$ is: