Question

How do you find the value of $\cos \frac{\mathrm{\pi }}{6}$?

Answer 1

Calculate the value of trigonometric ratio at given angle:

Let $y$ be the value of $\cos \frac{\mathrm{\pi }}{6}$.

$\therefore y=\cos \frac{\mathrm{\pi }}{6}$

We know that $\mathrm{\pi }=180°$

$\therefore y=\cos \frac{\mathrm{\pi }}{6}$

$=\cos \frac{180°}{6}$

$=\cos 30°$

$=\frac{\sqrt{3}}{2}$ $\left[\because cos30°=\frac{\sqrt{3}}{2}\right]$

Hence, the value of $\mathit{c}\mathit{o}\mathit{s}\frac{\mathbf{\pi }}{\mathbf{6}}$ is $\frac{\sqrt{\mathbf{3}}}{\mathbf{2}}$.