91Ó°ÊÓ

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. $$ y=4 \sin 2 x $$

Use a calculator to evaluate each expression to the nearest tenth of a degree. $$\arctan (-2.748)$$

For each equation, identify the amplitude, period, horizontal shift, and phase. Then label the axes accordingly and sketch one complete cycle of the curve. $$ y=-\cos \left(2 x+\frac{\pi}{2}\right) $$

The following problems review material we covered in Section 3.1. Name the reference angle for each angle below.\(-115^{\circ}\)

Use the unit circle and the fact that sine is an odd function to find each of the following: If \(\cos \theta=-1 / 4\), find \(\cos (-\theta)\).

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. $$ y=2 \sin 4 x $$

For each equation, identify the amplitude, period, horizontal shift, and phase. Then label the axes accordingly and sketch one complete cycle of the curve. $$ y=-\cos \left(2 x-\frac{\pi}{2}\right) $$

Use a calculator to evaluate each expression to the nearest tenth of a degree. $$\arctan (-0.2679)$$

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) How does the value of \(C\) affect the graph in each case?a. \(y=\tan x_{1} y=\tan (x+C)\) for \(C=\frac{\text { w }}{6}\) b. \(y=\tan x, y=\tan (x+C)\) for \(C=-\frac{\pi}{6}\)

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