91Ó°ÊÓ

Use a calculator to approximate each value to four decimal places. $$ \cos (-2.5) $$

Find \(\theta, 0^{\circ} \leq \theta<360^{\circ}\), given the following information. \(\csc \theta=-2\) with \(\theta\) in QIII

Find \(\theta, 0^{\circ} \leq \theta<360^{\circ}\), given the following information. \(\csc \theta=\sqrt{2}\) with \(\theta\) in QII

Find \(\theta, 0^{\circ} \leq \theta<360^{\circ}\), given the following information. \(\cot \theta=-1\) with \(\theta\) in QIV

For Problems 83 through 94 , determine if the statement is possible for some real number \(z\). $$ \csc 0=z $$

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

These questions are available to help instructors assess if you have successfully met the learning objectives for this section. Use a reference angle to find the exact value of \(\cos 210^{\circ}\). a. \(-\frac{1}{2}\) b. \(-\frac{\sqrt{3}}{2}\) c. \(-\frac{\sqrt{2}}{2}\) d. \(\frac{1}{2}\)

These questions are available to help instructors assess if you have successfully met the learning objectives for this section. Use a calculator to approximate \(\csc \left(-304^{\circ}\right)\). a. \(1.7883\) b. \(1.2062\) c. \(0.8290\) d. \(1.4826\)

If angle \(\theta\) is in standard position and the terminal side of \(\theta\) intersects the unit circle at the point \(\left(-\frac{\sqrt{17}}{17}, \frac{4 \sqrt{17}}{17}\right)\), find \(\tan \theta\). a. \(-4\) b. \(-\frac{1}{4}\) c. \(-\frac{\sqrt{17}}{17}\) d. \(\frac{4 \sqrt{17}}{17}\)