5. Inverse Trigonometric Functions and Basic Trigonometric Equations

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.

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

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.

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

Evaluate the expression.

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

Evaluate the expression.

$\tan^{-1}0$

Evaluate the expression.

$\tan^{-1}1$

Evaluate the expression.

$\tan^{-1}\left(-\frac{\sqrt3}{3}\right)$

Evaluate the expression using a calculator. Express your answer in radians, rounding to two decimal places.

$\tan^{-1}\left(5\right)$

Evaluate the expression using a calculator. Express your answer in radians, rounding to two decimal places.

$\sin^{-1}\left(-\frac13\right)$

Evaluate the expression using a calculator. Express your answer in radians, rounding to two decimal places.

$\cos^{-1}\left(\frac14\right)$