Question

How do you find the value of ${\cos }^{-1}\left(0\right)$?

Answer 1

Calculate the value of inverse trigonometric function:

Let $\theta$ be the angle equal to ${\cos }^{-1}\left(0\right)$.

$\therefore \theta ={\cos }^{-1}\left(0\right)$

Here $\theta$ is the angle which gives $0$ value for cosine function i.e $\cos \theta =0$

We know that $\cos 90°=0$

$\therefore \theta ={\cos }^{-1}\left(0\right)$

$=90°$

$=\frac{\mathrm{\pi }}{2}$

Hence, the value of $\mathit{c}\mathit{o}{\mathit{s}}^{\mathbf{-}\mathbf{1}}\mathbf{\left(}\mathbf{0}\mathbf{\right)}$ is $\frac{\mathbf{\pi }}{\mathbf{2}}$.