If 0° < A < 90°, then the value of tan2A + cot2A - sec2A cosec2A is?

Answer: Option D

$$\begin{array}{rl}& \text{ta}{\text{n}}^2\text{A}+\text{co}{\text{t}}^2\text{A}-{\sec }^2\text{A}\text{.cose}{\text{c}}^2\text{A}\\ & \mathbf{Shortcut}\mathbf{method}:\\ & \text{Put A}=45^{\circ }\\ & \Rightarrow \text{ta}{\text{n}}^{2}45^{\circ }+\text{co}{\text{t}}^{2}45^{\circ }-{\sec }^{2}45^{\circ }\text{.cose}{\text{c}}^{2}45^{\circ }\\ & \Rightarrow 1+1-{\left(\sqrt{2}\right)}^2{\left(\sqrt{2}\right)}^2\\ & \Rightarrow -2\end{array}$$