What is the value of (1 + cot2θ)(1 - cos2θ).

Answer: Option A

$$\begin{array}{rl}& \left(1+{\cot }^2\theta \right)\left(1-{\cos }^2\theta \right)\\ & =\left(1+\frac{{\cos }^2\theta }{{\sin }^2\theta }\right){\sin }^2\theta \\ & =\left(\frac{{\sin }^2\theta +{\cos }^2\theta }{{\sin }^2\theta }\right){\sin }^2\theta \\ & =1\end{array}$$