$2\sin A\cos^3 A - 2\sin^3 A\cos A = $

If $\text{cosec} \theta = \frac{p + q}{p - q}$,then $\cot \left( \frac{\pi}{4} + \frac{\theta}{2} \right) = $

If $A$ is not an integral multiple of $\frac{\pi}{2}$,then $\operatorname{cosec} 2A + \cot 2A$ is equal to

If $\cot A=\frac{11}{60}$,$\cos B=\frac{7}{25}$ and neither $A$ nor $B$ is in the first quadrant,then $\left(A+\frac{B}{2}\right)$ lies in the quadrant

If $\frac{2 \sin \theta}{1+\cos \theta+\sin \theta}=y$,then $\frac{1-\cos \theta+\sin \theta}{1+\sin \theta}=$

If $\frac{\sec 8\theta - 1}{\sec 4\theta - 1} = \frac{a + b \tan^2 2\theta}{1 + c \tan^2 2\theta + d \tan^4 2\theta}$ (where $\theta \neq \frac{n\pi}{16}, n \in I$),then the value of $(a - b + c - d)$ is -