91Ó°ÊÓ

\(11-22\) . Use a calculator to find an approximate value of each expression correct to five decimal places, if it is defined. \(\sin ^{-1} \frac{2}{3}\)

Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is zero at time \(t=0\) . amplitude \(10 \mathrm{cm},\) period 3 \(\mathrm{s}\)

Find the period and graph the function. $$ y=-\frac{1}{2} \tan x $$

\(9-14\) . Find the missing coordinate of \(P\) , using the fact that \(P\) lies on the unit circle in the given quadrant. $$ \frac{\text { Coordinates }}{P\left(\frac{1}{3},\right.} ) \frac{\text { Quadrant }}{\text { II }} $$

Find the period and graph the function. $$ y=\frac{1}{2} \tan x $$

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

Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is zero at time \(t=0\) . amplitude \(24 \mathrm{ft}, \quad\) period 2 \(\mathrm{min}\)

\(9-14\) . Find the missing coordinate of \(P\) , using the fact that \(P\) lies on the unit circle in the given quadrant. $$ \frac{\text { Coordinates }}{P\left(\frac{2}{5},\right.} ) \frac{\text { Quadrant }}{\text { I }} $$

\(3-16\) Graph the function. $$ g(x)=-\frac{2}{3} \cos x $$

\(11-22\) . Use a calculator to find an approximate value of each expression correct to five decimal places, if it is defined. \(\sin ^{-1}\left(-\frac{8}{9}\right)\)