Question

If cos 0 = $\frac{\sqrt{3}}{2}$, find other trigonometric ratios of angle 0.

Answer 1

$$\begin{gathered} \mathrm{Given}: \\ \cos \mathrm{\theta }=\frac{\sqrt{3}}{2} \\ \Rightarrow \cos \mathrm{\theta }=\cos 30° \\ \Rightarrow \mathrm{\theta }=30° \\ \mathrm{Thus},\mathrm{we}\mathrm{get}: \\ \sin 30°=\frac{1}{2} \\ \mathrm{cosec}30°=2 \\ \sec 30°=\frac{2}{\sqrt{3}} \\ \tan 30°=\frac{1}{\sqrt{3}} \\ \cot 30°=\sqrt{3} \end{gathered}$$