Question

Write the value of $3{\cot }^2\theta -3{\mathrm{cosec}}^2\theta$.

Answer 1

$$\begin{gathered} 3{\cot }^2\theta -3{\mathrm{cosec}}^2\theta \\ =3\left({\cot }^2\theta -{\mathrm{cosec}}^2\theta \right) \\ =3\left(-1\right) \\ =-3 \end{gathered}$$