91Ó°ÊÓ

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 pair of functions together for \(-2 \pi \leq x \leq 2 \pi\). (Make sure your calculator is set to radian mode.) a. \(y=\tan x, y=2+\tan x\) b. \(y=\tan x, y=-2+\tan x\) c. \(y=\tan x, y=-\tan x\)

Use the unit circle and the fact that sine is an odd function to find each of the following: $$ \sin \left(-30^{\circ}\right) $$

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. \(y=\frac{1}{2} \cos 3 x\)

Use a calculator to evaluate each expression to the nearest tenth of a degree. \(\tan ^{-1}(0.3799)\)

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. \(y=\frac{1}{2} \sin 3 x\)

Use the unit circle and the fact that sine is an odd function to find each of the following: $$ \sin \left(-90^{\circ}\right) $$

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.) $$ y=x-\sin x $$

Use your graphing calculator to graph each pair of functions together for \(-2 \pi \leq x \leq 2 \pi\). (Make sure your calculator is set to radian mode.) a. \(y=\cot x, y=5+\cot x\) b. \(y=\cot x, y=-5+\cot x\) c. \(y=\cot x, y=-\cot x\)

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. \(y=-\frac{1}{2} \sin \frac{\pi}{2} x\)