5. Inverse Trigonometric Functions and Basic Trigonometric Equations

Solve each equation for exact solutions over the interval [0, 2π).

tan² x + 3 = 0

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}\(\left\)(-\(\sqrt\)3\(\right\))\(\right\))$