Solve 1+cosA/1-cosAquadcscA+cotA^2

$$\frac { 1 + \cos A } { 1 - \cos A } \quad \csc A + \cot A ^ { 2 }$$

Evaluate

$$\frac{\sin(2A)\cos(A^{2})-2\sin(A\left(A+1\right))-2\sin(A^{2})}{2\sin(A)\left(\cos(A)-1\right)\sin(A^{2})}$$

Differentiate w.r.t. A

$$\frac{8A\cos(A)\left(\sin(A)\sin(A^{2})\right)^{2}+8A\cos(A)\left(\sin(A)\cos(A^{2})\right)^{2}-A\left(\sin(2A)\sin(A^{2})\right)^{2}-A\left(\sin(2A)\cos(A^{2})\right)^{2}-4A\left(\sin(A)\sin(A^{2})\right)^{2}-4A\left(\sin(A)\cos(A^{2})\right)^{2}-4\left(\sin(A)\sin(A^{2})\right)^{2}+2\left(\cos(A)\right)^{3}\left(\sin(A^{2})\right)^{2}-2\cos(A)\left(\sin(A^{2})\right)^{2}}{2\left(\sin(A)\left(-\cos(A)+1\right)\sin(A^{2})\right)^{2}}$$