0. Functions

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.

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

Evaluate the expression.

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

Evaluate the expression.

$\sin^{-1}\left(\cos\frac{2\pi}{3}\right)$

Evaluate the expression.

$\cos\left(\cos^{-1}\left(-\sqrt3\right)\right)$

Evaluate the expression.

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

Evaluate the expression.

$\tan^{-1}\left(\tan\frac{2\pi}{3}\right)$

Evaluating inverse trigonometric functions Without using a calculator, evaluate the following expressions.

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

Evaluating inverse trigonometric functions Without using a calculator, evaluate the following expressions.

$\tan^{-1}\left(\tan\left(\frac{\pi}{4}\right)\right)$

Evaluating inverse trigonometric functions Without using a calculator, evaluate the following expressions.

$\tan^{-1}\left(\tan\left(\frac{3\pi}{4}\right)\right)$

Evaluating inverse trigonometric functions Without using a calculator, evaluate the following expressions.

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

Express $\theta$ in terms of $x$ using the inverse sine, inverse tangent, and inverse secant functions. <IMAGE>

Evaluating inverse trigonometric functions Without using a calculator, evaluate the following expressions.

$\tan^{-1}\sqrt3$