91Ó°ÊÓ

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

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

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

Use a calculator to find the value of each expression rounded to two decimal places. $$\sin ^{-1} 0.3$$

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 \(t=0\) 0 inches Amplitude 3 inches Period 1.5 seconds

Convert each angle in degrees to radians. Express your answer as a multiple of \(\pi\). $$-225^{\circ}$$

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

Graph two periods of the given cotangent function. $$y=\frac{1}{2} \cot 2 x$$

Convert each angle in degrees to radians. Express your answer as a multiple of \(\pi\). $$-270^{\circ}$$

Use a calculator to find the value of each expression rounded to two decimal places. $$\sin ^{-1} 0.47$$