Write down the interval for the principal-value branch of the function and draw its graph:

${\sin }^{-1}x$

Write down the interval for the principal-value branch of the function and draw its graph:

${\cos }^{-1}x$

Write down the interval for the principal-value branch of the function and draw its graph:

${\tan }^{-1}x$

Write down the interval for the principal-value branch of the function and draw its graph:

${\cot }^{-1}x$

Write down the interval for the principal-value branch of the function and draw its graph:

${\sec }^{-1}x$

Write down the interval for the principal-value branch of the function and draw its graph:

${\mathrm{cosec}}^{-1}x$

The principal value of ${\cos }^{-1}\frac{\sqrt{3}}{2}$ is