91Ó°ÊÓ

Graph the function. $$ g(x)=-\frac{1}{2} \sin x $$

7–52 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. $$ \begin{array}{llll}{\text { (a) } \sin \frac{7 \pi}{3}} & {\text { (b) } \csc \frac{7 \pi}{3}} & {\text { (c) } \cot \frac{7 \pi}{3}}\end{array} $$

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 \(\mathrm{s}\)

\(7-12\) . Find the missing coordinate of \(P\) , using the fact that \(P\) lies on the unit circle in the given quadrant. \(P\left(\frac{2}{5}, \quad\right) \quad\) I

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

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

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 \(\mathrm{ft},\) period 2 \(\mathrm{min}\)

7–52 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. $$ \begin{array}{lll}{\text { (a) } \sin \left(-\frac{\pi}{2}\right)} & {\text { (b) } \cos \left(-\frac{\pi}{2}\right)} & {\text { (c) } \cot \left(-\frac{\pi}{2}\right)}\end{array} $$