91Ó°ÊÓ

Sketch the graph of \(y=x \cos x\).

Graph one complete cycle for each of the following. In each case, label the axes so that the amplitude and period are easy to read. \(y=2 \sin 4 x\)

Graph each of the following over the given interval. In each case, label the axes accurately and state the period for each graph. $$ y=-2 \csc 3 x, 0 \leq x \leq 2 \pi $$

Use the unit circle and the fact that cosine is an even function to find each of the following: $$ \cos \left(-\frac{5 \pi}{6}\right) $$

Graph one complete cycle for each of the following. In each case, label the axes so that the amplitude and period are easy to read. \(y=3 \sin \frac{1}{2} x\)

Use a calculator to evaluate each expression to the nearest tenth of a degree. \(\cos ^{-1}(-0.8425)\)

Use your graphing calculator to graph each of the following between \(x=0\) and \(x=4 \pi\). In each case, show the graph of \(y_{1}, y_{2}\), and \(y=y_{1}+y_{2}\). (Make sure your calculator is set to radian mode.) $$ y=2+\sin x $$

Graph each of the following over the given interval. In each case, label the axes accurately and state the period for each graph. $$ y=-2 \sec 3 x, 0 \leq x \leq 2 \pi $$

Use the unit circle and the fact that cosine is an even function to find each of the following: $$ \cos \left(-\frac{4 \pi}{3}\right) $$

Graph one complete cycle for each of the following. In each case, label the axes so that the amplitude and period are easy to read. \(y=2 \sin \frac{1}{3} x\)