Question

Write the value of $\frac{{\tan }^2\theta -{\sec }^2\theta }{{\cot }^2\theta -{\mathrm{cosec}}^2\theta }$.

Answer 1

$$\begin{gathered} \frac{{\tan }^2\theta -{\sec }^2\theta }{{\cot }^2\theta -{\mathrm{cosec}}^2\theta } \\ =\frac{-1}{-1} \\ =1 \end{gathered}$$