91Ó°ÊÓ

Find the exact value of the trigonometric function at the given real number. $$ \begin{array}{llll}{\text { (a) } \sec \frac{11 \pi}{3}} & {\text { (b) } \csc \frac{11 \pi}{3}} & {\text { (c) } \sec \left(-\frac{\pi}{3}\right)}\end{array} $$

\(13-18=\) The point \(P\) is on the unit circle. Find \(P(x, y)\) from the given information. The \(x\) -coordinate of \(P\) is \(\frac{4}{5}\) and the \(y\) -coordinate is positive.

7–52 Find the period and graph the function. $$y=2 \csc x$$

Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time \(t=0\) . amplitude 60 ft, period 0.5 min

7–52 Find the period and graph the function. $$y=\frac{1}{2} \csc x$$

Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time \(t=0\) . amplitude 35 cm, period 8 s

\(13-18=\) The point \(P\) is on the unit circle. Find \(P(x, y)\) from the given information. The \(y\) -coordinate of \(P\) is \(-\frac{1}{3}\) and the \(x\) -coordinate is positive.

Find the exact value of the trigonometric function at the given real number. $$ \begin{array}{llll}{\text { (a) } \cos \frac{7 \pi}{6}} & {\text { (b) } \sec \frac{7 \pi}{6}} & {\text { (c) } \csc \frac{7 \pi}{6}}\end{array} $$

Graph the function. $$ h(x)=|\sin x| $$

Find the exact value of the trigonometric function at the given real number. $$ \begin{array}{llll}{\text { (a) } \tan \frac{5 \pi}{6}} & {\text { (b) } \tan \frac{7 \pi}{6}} & {\text { (c) } \tan \frac{11 \pi}{6}}\end{array} $$