91Ó°ÊÓ

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 \((x, y)\). \(y=-\cos x \quad\) for \(x=0, \frac{\pi}{2}, \pi, \frac{3 \pi}{2}, 2 \pi\)

The problems that follow review material we covered in Sections \(1.1\) and 2.1. Give the complement and supplement of each angle. $$ 120^{\circ} $$

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

Determine if the statement is possible for some real number \(z\). \(\cot z=0\)

Determine if the statement is possible for some real number \(z\). \(\sec z=\frac{1}{2}\)

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

For the following expressions, find the value of \(y\) that corresponds to each value of \(x\), then write your results as ordered pairs \((x, y)\). \(y=\frac{1}{2} \cos x \quad\) for \(x=0, \frac{\pi}{2}, \pi, \frac{3 \pi}{2}, 2 \pi\)

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

Describe how csc \(t\) varies as \(t\) increases from 0 to \(\pi / 2\).