Evaluate the expression.
$\(\cos\)^{-1}\(\left\)(-1\(\right\))$

Given the function $y=cot\left(x\right)$, which of the following statements is true about its inverse function $y=arccot\left(x\right)$?

Evaluate the expression.

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

Evaluate the expression.

$\(\cos\)^{-1}\(\left\)(-\(\frac{\sqrt2}{2}\)\(\right\))$

Evaluate the expression.

$\(\sin\)^{-1}1$

Evaluate the expression.

$\(\sin\)^{-1}\(\left\)(\(\frac{\sqrt3}{2}\)\(\right\))$