91Ó°ÊÓ

find the reference angle for each angle. $$ \frac{17 \pi}{6} $$

A forest ranger sights a fire directly to the south. A second ranger, 7 miles east of the first ranger, also sights the fire. The bearing from the second ranger to the fire is \(\mathrm{S} 28^{\circ} \mathrm{W}\). How far, to the nearest tenth of a mile, is the first ranger from the fire?

Use a vertical shift to graph one period of the function. $$y=\sin x+2$$

Use a sketch to find the exact value of each expression. $$ \sin \left(\cos ^{-1} \frac{\sqrt{2}}{2}\right) $$

find the reference angle for each angle. $$ \frac{11 \pi}{4} $$

A ship sights a lighthouse directly to the south. A second ship, 9 miles east of the first ship, also sights the lighthouse. The bearing from the second ship to the lighthouse is \(\mathrm{S} 34^{\circ} \mathrm{W}\) How far, to the nearest tenth of a mile, is the first ship from the lighthouse?

Use a vertical shift to graph one period of the function. $$y=\sin x-2$$

Use a sketch to find the exact value of each expression. $$ \cos \left(\sin ^{-1} \frac{1}{2}\right) $$

In Exercises \(55-58,\) use a graph to solve each equation for \(-2 \pi \leq x \leq 2 \pi\) $$ \tan x=-1 $$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. Because \(\cos \frac{\pi}{6}=\frac{\sqrt{3}}{2},\) I can conclude that \(\cos \left(-\frac{\pi}{6}\right)=-\frac{\sqrt{3}}{2}\)