91Ó°ÊÓ

The problems that follow review material we covered in Sections \(1.1\) and 2.1. Give the complement and supplement of each angle. $$90^{\circ}-y$$

For Problems 83 through 94 , determine if the statement is possible for some real number \(z\). $$ \cot \pi=z $$

If the longest side in a \(30^{\circ}-60^{\circ}-90^{\circ}\) triangle is 10 , find the length of the other two sides.

For Problems 83 through 94 , determine if the statement is possible for some real number \(z\). $$ \sin z=1.2 $$

For the following expressions, find the value of \(y\) that corresponds to each value of \(x\), then write your results as ordered pairs \((x, y)\). $$ y=\cos \left(x-\frac{\pi}{6}\right) \quad \text { for } x=\frac{\pi}{6}, \frac{\pi}{3}, \frac{2 \pi}{3}, \pi, \frac{7 \pi}{6} $$

For the following expressions, find the value of \(y\) that corresponds to each value of \(x\), then write your results as ordered pairs \((x, y)\). $$ y=\sin \left(x+\frac{\pi}{4}\right) \quad \text { for } x=-\frac{\pi}{4}, 0, \frac{\pi}{4}, \frac{\pi}{2}, \frac{3 \pi}{4} $$

If the two shorter sides of a \(45^{\circ}-45^{\circ}-90^{\circ}\) triangle are both \(\frac{3}{4}\), find the length of the hypotenuse.

For Problems 83 through 94 , determine if the statement is possible for some real number \(z\). $$ \cos z=\pi $$

For Problems 83 through 94 , determine if the statement is possible for some real number \(z\). $$ \tan z=\frac{3 \pi}{2} $$

For the following expressions, find the value of \(y\) that corresponds to each value of \(x\), then write your results as ordered pairs \((x, y)\). $$ y=2+\cos x \quad \text { for } x=0, \frac{\pi}{2}, \pi, \frac{3 \pi}{2}, 2 \pi $$