91Ó°ÊÓ

Simplify the absolute value in \(4|\cos \theta|\) if \(\theta=\sin ^{-1} \frac{x}{4}\) for some real number \(x\).

Use the given information and your calculator to find \(\theta\) to the nearest tenth of a degree if \(0^{\circ}<\theta<360^{\circ}\).\(\cot \theta=-0.2089\) with \(\theta\) in QIV

Graph each of the following over the given interval. Label the axes so that the amplitude and period are easy to read. $$ y=3 \cos \pi x,-2 \leq x \leq 4 $$

Prove each identity. $$\cos (-\theta) \csc (-\theta) \tan (-\theta)=1$$

Graph each of the following over the given interval. Label the axes so that the amplitude and period are easy to read. $$ y=2 \sin \pi x,-4 \leq x \leq 4 $$

Graph one complete cycle for each of the following. In each case, label the axes accurately and state the period and horizontal shift for each graph. \(y=\cot \left(x+\frac{\pi}{4}\right)\)

Simplify the absolute value in \(5|\sec \theta|\) if \(\theta=\tan ^{-1} \frac{x}{5}\) for some real number \(x\).

Use the given information and your calculator to find \(\theta\) to the nearest tenth of a degree if \(0^{\circ}<\theta<360^{\circ}\).\(\tan \theta=8.1506\) with \(\theta\) in QIII

Graph each of the following over the given interval. Label the axes so that the amplitude and period are easy to read. $$ y=3 \sin 2 x,-\pi \leq x \leq 2 \pi $$

Graph one complete cycle for each of the following. In each case, label the axes accurately and state the period and horizontal shift for each graph. \(y=\tan \left(2 x-\frac{\pi}{2}\right)\)