In Exercises 63–82, use a sketch to find the exact value of each expression. tan (cos⁻¹ 5/13)

In Exercises 63–82, use a sketch to find the exact value of each expression. tan [cos⁻¹ (− 1/3)]

In Exercises 29–51, find the exact value of each expression. Do not use a calculator. tan[sin⁻¹ (− 1/2)]

Evaluate each expression without using a calculator.

cos (tan⁻¹ (-2))

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\(\right\))\(\right\))$