Question

Prove that
Q.1. sec $\theta$ cot $\theta$ = cosec $\theta$

Answer 1

$$\begin{gathered} \mathrm{Hi}, \\ \mathrm{LHS}\hspace{0.17em} \\ =\frac{1}{\mathrm{cos\theta }}\times \frac{\mathrm{cos\theta }}{\mathrm{sin\theta }}=\frac{1}{\mathrm{sin\theta }}=\mathrm{cosec\theta }=\mathrm{RHS} \end{gathered}$$