Select the expression with the same value as the given expression.
$\(\sec\[\left\)(-\(\frac{4\pi}{5}\]\right\))$

In Exercises 63–68, find the exact value of each expression. Do not use a calculator. cos 12° sin 78° + cos 78° sin 12°

Use a calculator to determine whether each statement is true or false. A true statement may lead to results that differ in the last decimal place due to rounding error. cos 40° = 2 cos 20°

Use the even-odd identities to evaluate the expression.

$\(\cos\]\left\)(-\(\theta\[\right\))-\(\cos\]\theta\)$

Use the even-odd identities to evaluate the expression.

$-\(\cot\]\left\)(\(\theta\[\right\))\(\cdot\]\sin\[\left\)(-\(\theta\]\right\))$

Select the expression with the same value as the given expression.

$\(\sin\[\left\)(-38\(\degree\]\right\))$

Use the Pythagorean identities to rewrite the expression as a single term.

$\(\left\)(1+\(\csc\[\theta\]\right\))\(\left\)(1-\(\csc\[\theta\]\right\))$

Use the Pythagorean identities to rewrite the expression with no fraction.

$\(\frac{1}{1-\sec\theta}\)$

Simplify the expression.

$\(\tan\)^2\(\theta\)-\(\sec\)^2\(\theta\)+1$