91Ó°ÊÓ

\(11-22\) . Use a calculator to find an approximate value of each expression correct to five decimal places, if it is defined. \(\cos ^{-1}\left(\frac{4}{9}\right)\)

\(9-14\) . Find the missing coordinate of \(P\) , using the fact that \(P\) lies on the unit circle in the given quadrant. $$ \frac{\text { Coordinates }}{-P\left(\frac{2}{3},\right.} ) \frac{\text { Quadrant }}{\text { II }} $$

\(3-16\) Graph the function. $$ h(x)=|\cos x| $$

Find the exact value of the trigonometric function at the given real number. (a) \(\sec \frac{11 \pi}{3} \quad\) (b) \(\csc \frac{11 \pi}{3} \quad\) (c) \(\sec \left(-\frac{\pi}{3}\right)\)

15-20 \(\mathbf{m}\) 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.

\(11-22\) . Use a calculator to find an approximate value of each expression correct to five decimal places, if it is defined. \(\cos ^{-1}(-0.92761)\)

Find the period and graph the function. $$ y=2 \cot x $$

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 \(60 \mathrm{ft},\) period 0.5 \(\mathrm{min}\)

Find the exact value of the trigonometric function at the given real number. (a) \(\cos \frac{7 \pi}{6} \quad\) (b) \(\sec \frac{7 \pi}{6} \quad\) (c) \(\csc \frac{7 \pi}{6}\)

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 \(35 \mathrm{cm}, \quad\) period 8 \(\mathrm{s}\)