Question

$$\begin{gathered} \mathrm{Choose}\mathrm{the}\mathrm{correct}\mathrm{answer}\mathrm{of}\mathrm{the}\mathrm{following}\mathrm{question}: \\ \frac{\sec 30°}{\mathrm{cosec}60°}=? \\ \left(\mathrm{a}\right)\frac{2}{\sqrt{3}}\left(\mathrm{b}\right)\frac{\sqrt{3}}{2}\left(\mathrm{c}\right)\sqrt{3}\left(\mathrm{d}\right)1 \end{gathered}$$

Answer 1

$$\begin{gathered} \frac{\sec 30°}{\mathrm{cosec}60°}=\frac{\sec 30°}{\sec \left(90°-60°\right)}=\frac{\sec 30°}{\sec 30°}=1 \\ \mathrm{Hence},\mathrm{the}\mathrm{correct}\mathrm{answer}\mathrm{is}\mathrm{option}\left(\mathrm{d}\right). \end{gathered}$$