Question

what is the value of (1-cos^2)cosec^2 < (1 - cos square teta) cosec square teta>

Answer 1

$$\begin{gathered} \left(1-{\cos }^2\mathrm{\theta }\right).{\mathrm{cosec}}^2\mathrm{\theta } \\ ={\sin }^2\mathrm{\theta }\times {\mathrm{cosec}}^2\mathrm{\theta } \\ ={\sin }^2\mathrm{\theta }\times \frac{1}{{\sin }^2\mathrm{\theta }} \\ =1 \end{gathered}$$