91Ó°ÊÓ

Find the exact value of each expression. $$\tan ^{-1}(-1)$$

Determine the amplitude and period of each function. Then graph one period of the function. $$y=-\sin \frac{4}{3} x$$

Convert each angle in degrees to radians. Express your answer as a multiple of \(\pi\). $$150^{\circ}$$

Graph two periods of the given cotangent function. $$y=2 \cot x$$

An object is attached to a coiled spring. In Exercises \(17-18,\) the object is pulled down (negative direction from the rest position and then released. In Exercises \(19-20\), the object is propelled downward from its rest position at time \(t=0 .\) Write an equation for the distance of the object from its rest position after \(t\) seconds. Distance from Rest Position at \(t=0\) 6 centimeters Amplitude 6 sentimeters Period 4 seconds

In Exercises \(17-22\), let \(\theta\) be an angle in standard position. Name the quadrant in which \(\theta\) lies. $$\sin \theta>0, \quad \cos \theta>0$$

Convert each angle in degrees to radians. Express your answer as a multiple of \(\pi\). $$300^{\circ}$$

Find the exact value of each expression. $$\tan ^{-1}(-\sqrt{3})$$

Convert each angle in degrees to radians. Express your answer as a multiple of \(\pi\). $$330^{\circ}$$

An object is attached to a coiled spring. In Exercises \(17-18,\) the object is pulled down (negative direction from the rest position and then released. In Exercises \(19-20\), the object is propelled downward from its rest position at time \(t=0 .\) Write an equation for the distance of the object from its rest position after \(t\) seconds. Distance from Rest Position at \(t=0\) 8 inches Amplitude 8 inches Period 2 seconds