12. Trigonometric Functions

Find the exact value of the expression.

$\(\cos\)105\(\degree\)$

Expand the expression using the sum & difference identities and simplify.

$\(\sin\[\left\)(-\(\theta\)-\(\frac{\pi}{2}\]\right\))$

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

$\(\sec\[\left\)(-\(\frac{4\pi}{5}\]\right\))$

Use the even-odd identities to evaluate the expression.

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

Find the exact value of the expression.

$\(\sin\)15\(\degree\)$

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

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

Find the exact value of the expression.

$\(\cos\)80\(\degree\[\cos\)20\(\degree\)+\(\sin\)80\(\degree\]\sin\)20\(\degree\)$

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

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

Use the even-odd identities to evaluate the expression.

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

Find the exact value of the expression.

$\(\cos\)\(\frac{5\pi}{12}\)$

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

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