91Ó°ÊÓ

If \(\theta=\frac{\pi}{4},\) then find exact values for \(\sec (\theta), \csc (\theta), \tan (\theta), \cot (\theta)\).

If \(\theta=\frac{5 \pi}{6},\) then find exact values for \(\sec (\theta), \csc (\theta), \tan (\theta), \cot (\theta)\).

The point \(P\) is on the unit circle. If the \(y\) -coordinate of \(P\) is \(\frac{3}{5},\) and \(P\) is in quadrant II, find the \(x\) coordinate.

Convert the angle \(30^{\circ}\) to radians.

Convert the angle \(\frac{5 \pi}{6}\) from radians to degrees.

Find the angle between \(0^{\circ}\) and \(360^{\circ}\) that is coterminal with a \(685^{\circ}\) angle

Find the angle between \(0^{\circ}\) and \(360^{\circ}\) that is coterminal with a \(-1400^{\circ}\) angle

For each of the following angles, find the reference angle, and what quadrant the angle lies in. Then compute sine and cosine of the angle. a. \(120^{\circ}\) b. \(315^{\circ}\) c. \(250^{\circ}\) d. \(150^{\circ}\)

For each of the following angles, find the reference angle, and what quadrant the angle lies in. Then compute sine and cosine of the angle. a. \(\frac{5 \pi}{4}\) b. \(\frac{7 \pi}{6}\) c. \(\frac{5 \pi}{3}\) d. \(\frac{3 \pi}{4}\)

A radio tower is located 325 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is \(43^{\circ}\) and that the angle of depression to the bottom of the tower is \(31^{\circ} .\) How tall is the tower?