91Ó°ÊÓ

\(3-16\) Graph the function. $$ f(x)=-\sin x $$

\(3-10=\) Find the exact value of each expression, if it is defined. $$ \begin{array}{llll}{\text { (a) } \cos ^{-1}(-1)} & {\text { (b) } \cos ^{-1} \frac{1}{2}} & {\text { (c) } \cos ^{-1}\left(-\frac{\sqrt{3}}{2}\right)}\end{array} $$

\(3-8 \approx\) Show that the point is on the unit circle. $$ \left(-\frac{5}{7},-\frac{2 \sqrt{6}}{7}\right) $$

The given function models the displacement of an object moving in simple harmonic motion. (a) Find the amplitude, period, and frequency of the motion. (b) Sketch a graph of the displacement of the object over one complete period. $$ y=2.4 \sin 3.6 t $$

Find the exact value of the trigonometric function at the given real number. (a) \(\sin \frac{5 \pi}{6}\) \(\quad\) (b) \(\cos \frac{5 \pi}{6}\) \(\quad\) (c) \(\tan \frac{5 \pi}{6}\)

\(3-16\) Graph the function. $$ f(x)=2-\cos x $$

\(3-10=\) Find the exact value of each expression, if it is defined. $$ \text { (a) } \cos ^{-1}\left(\frac{\sqrt{2}}{2}\right) \quad \text { (b) } \cos ^{-1} 1 \quad \text { (c) } \cos ^{-1}\left(-\frac{\sqrt{2}}{2}\right) $$

\(3-10=\) Find the exact value of each expression, if it is defined. $$ \begin{array}{llll}{\text { (a) } \tan ^{-1}(-1)} & {\text { (b) } \tan ^{-1} \sqrt{3}} & {} & {\text { (c) } \tan ^{-1} \frac{\sqrt{3}}{3}}\end{array} $$

Find the exact value of the trigonometric function at the given real number. (a) \(\sin \frac{7 \pi}{6}\) \(\quad\) (b) \(\sin \left(-\frac{\pi}{6}\right)\) \(\quad\) (c) \(\sin \frac{11 \pi}{6}\)

The given function models the displacement of an object moving in simple harmonic motion. (a) Find the amplitude, period, and frequency of the motion. (b) Sketch a graph of the displacement of the object over one complete period. $$ y=-0.25 \cos \left(1.5 t-\frac{\pi}{3}\right) $$